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Integrals- 2 - Free MCQ Practice Test with solutions, JEE Maths


MCQ Practice Test & Solutions: Test: Integrals- 2 (25 Questions)

You can prepare effectively for JEE Mathematics (Maths) for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Integrals- 2". These 25 questions have been designed by the experts with the latest curriculum of JEE 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 25 minutes
  • - Number of Questions: 25

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Test: Integrals- 2 - Question 1

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Test: Integrals- 2 - Question 2

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Test: Integrals- 2 - Question 3

Detailed Solution: Question 3


Test: Integrals- 2 - Question 4

if ∫ g(x) dx = g(x), then  is equal to 

Detailed Solution: Question 4

Test: Integrals- 2 - Question 5

If f (x) be a function such that 

Detailed Solution: Question 5

∫ log xdx = xlog x - x = x(log x -1)

 = x(log x - log e) = 

Test: Integrals- 2 - Question 6

Detailed Solution: Question 6


Test: Integrals- 2 - Question 7

Detailed Solution: Question 7

Dividing numerator and denominator by cos2x and substituting tanx = t , we get :

Test: Integrals- 2 - Question 8

Detailed Solution: Question 8

Test: Integrals- 2 - Question 9

∫ sec2 x cosec2 x dx is equal to 

Detailed Solution: Question 9

Test: Integrals- 2 - Question 10

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Test: Integrals- 2 - Question 11

Detailed Solution: Question 11

Test: Integrals- 2 - Question 12

Detailed Solution: Question 12

Test: Integrals- 2 - Question 13

Detailed Solution: Question 13

Note that sin9x is an odd function, therefore, 

Test: Integrals- 2 - Question 14

Detailed Solution: Question 14

Test: Integrals- 2 - Question 15

Detailed Solution: Question 15

∫ log(1-x) dx - ∫ log x dx = 0

Test: Integrals- 2 - Question 16

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Test: Integrals- 2 - Question 17

Detailed Solution: Question 17

Test: Integrals- 2 - Question 18

Detailed Solution: Question 18

Test: Integrals- 2 - Question 19

 ∫ log(log x) + (log x)-1) dx is equal to 

Detailed Solution: Question 19


Test: Integrals- 2 - Question 20

The functionsatisfies the equation

Detailed Solution: Question 20

Test: Integrals- 2 - Question 21

The value of max(sinx, cosx)dx is,

Detailed Solution: Question 21

Test: Integrals- 2 - Question 22

Detailed Solution: Question 22




Test: Integrals- 2 - Question 23

The value of the integral 

Detailed Solution: Question 23

Test: Integrals- 2 - Question 24

Detailed Solution: Question 24


Test: Integrals- 2 - Question 25

If then

Detailed Solution: Question 25

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