Chapter 3 Maths Integration 2nd Year MCQs with Answers

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.

Chapter 3 Maths Integration 2nd Year MCQs with Answers

Question#1: _-1∫¹ (x+1)² dx=?

• 8
• 3
• 8/3
• 3/8

Question#2: 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.

• ½
• 2
• 2/3
• 6

Question#3: ∫sec² nx dx=?

• n/3 sec 3nx
• ntan (nx)
• tan (nx)
• 1/n tan(nx)

Question#4: ∫ 4^3x dx=?

• 4^3x
• 1/3 4^3x
• 4^3x/ln3
• 4^3x/3ln4

Question#5: The area enclosed by the graphs x=y³ and x=4y is:

• 0
• 4
• 8
• 2

Question#6: Which of the following function satisfies the condition _-a∫^a f(x)=0, for any number a?

• f(x)= x³– x²+ x
• f(x)= x⁴+ x³
• f(x)= (x+1)³ – (3x² +1)
• f(x)= 3x- 2x³+ x⁵

Question#7: The area bounded by the curve y=lnx, x-axis and line x=e is:

• e
• 1
• Infinity
• None of these

Question#8: The area bounded by the x-axis and the curve y=4x-x² is:

• 32/3
• 32
• 64/3
• 64

Question#9: d/dt _a∫¹ cosecθ dθ=?

• cosecθ+ c
• cosect +c
• 0
• cosect

Question#10: Area of ellipse x²+4y²=16 is:

• 8π
• 16 π
• 32 π
• 64 π

Question#11: ₁∫√³ dx/1+x²=?

• π/2
• π/4
• π/6
• π/12

Question#12: _-3∫³ |x|dx=?

• 3
• 9
• 18
• 0

Question#13: The area bounded by the curve y=x² and y=|x|is:

• 1
• 2
• 1/3
• 2/3

Question#14: Area under the curve f(x) =x²+x+1 from x=1 to x=3 is:

• 22/3
• 44/5
• 22/5
• 44/3

Question#15: Let the velocity at time t of a point moving on a line be defined by v(t)=2^t ln 2cm/sec. How many feet did the point travel from t=0sec to t=4sec.

• 15 feet
• 25 feet
• 16 feet
• None of these