{"id":474,"date":"2020-09-18T10:57:14","date_gmt":"2020-09-18T05:57:14","guid":{"rendered":"https:\/\/talib.pk\/test-preparation\/?p=474"},"modified":"2020-09-18T10:57:14","modified_gmt":"2020-09-18T05:57:14","slug":"chapter-3-maths-integration-2nd-year-mcqs-with-answers","status":"publish","type":"post","link":"https:\/\/talib.pk\/test-preparation\/chapter-3-maths-integration-2nd-year-mcqs-with-answers\/","title":{"rendered":"Chapter 3 Maths Integration 2nd Year MCQs with Answers"},"content":{"rendered":"<div class=\"28d95f43054b69d67289d6316e9506d8\" data-index=\"1\" style=\"float: none; margin:12px 0 12px 0; text-align:center;\">\n<script async src=\"\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js\"><\/script>\r\n<!-- talib-new -->\r\n<ins class=\"adsbygoogle\"\r\n     style=\"display:block\"\r\n     data-ad-client=\"ca-pub-3438155045791616\"\r\n     data-ad-slot=\"6774242552\"\r\n     data-ad-format=\"auto\"><\/ins>\r\n<script>\r\n(adsbygoogle = window.adsbygoogle || []).push({});\r\n<\/script>\n<\/div>\n<p>The 3rd Chapter is about Integration and you will be able to check the Chapter 3 Maths Integration 2nd Year MCQs with Answers here. Hopefully, you have completed your Intermediate with good marks and now you are going to study further. Now the students will apply for the admissions. For this, you should pass the entry test. The main subjects for entry tests are the science subjects and Maths is one of the most important. It can give you enough marks to get admission in good department. So, the 3rd chapter is Integration. Here, you have studied the importance of integrations, its rules, and important formulae. Integration by parts is very important where you can integrate by using ILATE rule. It has several applications and you can use to find rea of different shapes. So, this is the short introduction of this chapter. Get all the important MCQs of this chapter given below.<\/p>\n<h2 style=\"text-align: center;\">Chapter 3 Maths Integration 2nd Year MCQs with Answers<\/h2>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"size-full wp-image-475 aligncenter\" src=\"https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-14.jpg\" alt=\"Chapter 3 Maths Integration 2nd Year MCQs with Answers\" width=\"300\" height=\"300\" srcset=\"https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-14.jpg 300w, https:\/\/talib.pk\/test-preparation\/wp-content\/uploads\/2020\/09\/Maths-MCQs-14-150x150.jpg 150w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>1<\/strong><\/span>: <sub>-1<\/sub>\u222b<sup>1<\/sup> (x+1)<sup>2<\/sup> dx=?<\/p>\n<ul>\n<li>8<\/li>\n<li>3<\/li>\n<li>8\/3<\/li>\n<li>3\/8<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>8\/3<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>2<\/strong><\/span>: Find the area in the first quadrant that is enclosed by y=sin3x from x=0 to the first x-intercept on the positive x-axis.<\/p>\n<ul>\n<li>\u00bd<\/li>\n<li>2<\/li>\n<li>2\/3<\/li>\n<li>6<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>2\/3<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>3<\/strong><\/span>: \u222bsec<sup>2<\/sup> nx dx=?<\/p>\n<ul>\n<li>n\/3 sec 3nx<\/li>\n<li>ntan (nx)<\/li>\n<li>tan (nx)<\/li>\n<li>1\/n tan(nx)<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>1\/n tan(nx)<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>4<\/strong><\/span>: \u222b 4<sup>3x<\/sup> dx=?<\/p>\n<ul>\n<li>4<sup>3x<\/sup><\/li>\n<li>1\/3 4<sup>3x<\/sup><\/li>\n<li>4<sup>3x<\/sup>\/ln3<\/li>\n<li>4<sup>3x<\/sup>\/3ln4<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>4<sup>3x<\/sup>\/3ln4<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>5<\/strong><\/span>: The area enclosed by the graphs x=y<sup>3<\/sup> and x=4y is:<\/p>\n<ul>\n<li>0<\/li>\n<li>4<\/li>\n<li>8<\/li>\n<li>2<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<b>8<\/b>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>6<\/strong><\/span>: Which of the following function satisfies the condition <sub>-a<\/sub>\u222b<sup>a<\/sup> f(x)=0, for any number a?<\/p>\n<ul>\n<li>f(x)= x<sup>3<\/sup>&#8211; x<sup>2<\/sup>+ x<\/li>\n<li>f(x)= x<sup>4<\/sup>+ x<sup>3<\/sup><\/li>\n<li>f(x)= (x+1)<sup>3<\/sup> \u2013 (3x<sup>2<\/sup> +1)<\/li>\n<li>f(x)= 3x- 2x<sup>3<\/sup>+ x<sup>5<\/sup><\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>f(x)= 3x- 2x<sup>3<\/sup>+ x<sup>5<\/sup><\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>7<\/strong><\/span>: The area bounded by the curve y=lnx, x-axis and line x=e is:<\/p>\n<ul>\n<li>e<\/li>\n<li>1<\/li>\n<li>Infinity<\/li>\n<li>None of these<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<b>1<\/b>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>8<\/strong><\/span>: The area bounded by the x-axis and the curve y=4x-x<sup>2<\/sup> is:<\/p>\n<ul>\n<li>32\/3<\/li>\n<li>32<\/li>\n<li>64\/3<\/li>\n<li>64<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>32\/3<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>9<\/strong><\/span>: d\/dt <sub>a<\/sub>\u222b<sup>1<\/sup> cosec\u03b8 d\u03b8=?<\/p>\n<ul>\n<li>cosec\u03b8+ c<\/li>\n<li>cosect +c<\/li>\n<li>0<\/li>\n<li>cosect<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>cosect<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>10<\/strong><\/span>: Area of ellipse x<sup>2<\/sup>+4y<sup>2<\/sup>=16 is:<\/p>\n<ul>\n<li>8\u03c0<\/li>\n<li>16 \u03c0<\/li>\n<li>32 \u03c0<\/li>\n<li>64 \u03c0<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>8\u03c0<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>11<\/strong><\/span>: <sub>1<\/sub>\u222b\u221a<sup>3 <\/sup>dx\/1+x<sup>2<\/sup>=?<\/p>\n<ul>\n<li>\u03c0\/2<\/li>\n<li>\u03c0\/4<\/li>\n<li>\u03c0\/6<\/li>\n<li>\u03c0\/12<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>\u03c0\/12<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>12<\/strong><\/span>: <sub>-3<\/sub>\u222b<sup>3<\/sup> |x|dx=?<\/p>\n<ul>\n<li>3<\/li>\n<li>9<\/li>\n<li>18<\/li>\n<li>0<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<b>9<\/b>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>13<\/strong><\/span>: The area bounded by the curve y=x<sup>2<\/sup> and y=|x|is:<\/p>\n<ul>\n<li>1<\/li>\n<li>2<\/li>\n<li>1\/3<\/li>\n<li>2\/3<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>1\/3<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>14<\/strong><\/span>: Area under the curve f(x) =x<sup>2<\/sup>+x+1 from x=1 to x=3 is:<\/p>\n<ul>\n<li>22\/3<\/li>\n<li>44\/5<\/li>\n<li>22\/5<\/li>\n<li>44\/3<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>44\/3<\/strong>\n\t\t\t<\/div><\/div>\n<p><span style=\"color: #000000;\"><strong><span style=\"color: #ff6600;\">Question#<\/span><\/strong><\/span><span style=\"color: #ff6600;\"><strong>15<\/strong><\/span>: Let the velocity at time t of a point moving on a line be defined by v(t)=2<sup>t<\/sup> ln 2cm\/sec. How many feet did the point travel from t=0sec to t=4sec.<\/p>\n<ul>\n<li>15 feet<\/li>\n<li>25 feet<\/li>\n<li>16 feet<\/li>\n<li>None of these<\/li>\n<\/ul>\n<div class=\"clear\"><\/div><div class=\"toggle close\"><h3 class=\"toggle-head-open\">Answer<i class=\"fa fa-angle-up\"><\/i><\/h3><h3 class=\"toggle-head-close\">Answer<i class=\"fa fa-angle-down\"><\/i><\/h3><div class=\"toggle-content\">\n\t\t\t<strong>25 feet<\/strong>\n\t\t\t<\/div><\/div>\n\n<div style=\"font-size: 0px; height: 0px; line-height: 0px; margin: 0; padding: 0; clear: both;\"><\/div>","protected":false},"excerpt":{"rendered":"<p>The 3rd Chapter is about Integration and you will be able to check the Chapter 3 Maths Integration 2nd Year MCQs with Answers here. Hopefully, you have completed your Intermediate with good marks and now you are going to study further. Now the students will apply for the admissions. For this, you should pass the &hellip;<\/p>\n","protected":false},"author":2,"featured_media":475,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[12],"tags":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts\/474"}],"collection":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/comments?post=474"}],"version-history":[{"count":0,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/posts\/474\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/media\/475"}],"wp:attachment":[{"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/media?parent=474"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/categories?post=474"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/talib.pk\/test-preparation\/wp-json\/wp\/v2\/tags?post=474"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}