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Indefinite Integration - Free MCQ Practice Test with solutions, JEE Chapter


MCQ Practice Test & Solutions: JEE Advanced Level Test: Indefinite Integration (30 Questions)

You can prepare effectively for JEE Chapter-wise Tests for JEE Main & Advanced with this dedicated MCQ Practice Test (available with solutions) on the important topic of "JEE Advanced Level Test: Indefinite Integration". These 30 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: 60 minutes
  • - Number of Questions: 30

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JEE Advanced Level Test: Indefinite Integration - Question 1

JEE Advanced Level Test: Indefinite Integration - Question 2

Detailed Solution: Question 2



JEE Advanced Level Test: Indefinite Integration - Question 3

 is equal to 

JEE Advanced Level Test: Indefinite Integration - Question 4

Detailed Solution: Question 4

 

JEE Advanced Level Test: Indefinite Integration - Question 5

Detailed Solution: Question 5

JEE Advanced Level Test: Indefinite Integration - Question 6

  is equal to

Detailed Solution: Question 6


JEE Advanced Level Test: Indefinite Integration - Question 7

 where 

Detailed Solution: Question 7

JEE Advanced Level Test: Indefinite Integration - Question 8

The value of the integral 

Detailed Solution: Question 8

JEE Advanced Level Test: Indefinite Integration - Question 9

  is equal to

JEE Advanced Level Test: Indefinite Integration - Question 10

 is equal to

JEE Advanced Level Test: Indefinite Integration - Question 11

 if 

JEE Advanced Level Test: Indefinite Integration - Question 12

 sin x log (sec x + tan x ) dx = f ( x ) + x + c then f (x ) =

Detailed Solution: Question 12

JEE Advanced Level Test: Indefinite Integration - Question 13

The value of   equal to

Detailed Solution: Question 13

and using the formula 

JEE Advanced Level Test: Indefinite Integration - Question 14

Detailed Solution: Question 14

JEE Advanced Level Test: Indefinite Integration - Question 15

Detailed Solution: Question 15

JEE Advanced Level Test: Indefinite Integration - Question 16

Detailed Solution: Question 16


JEE Advanced Level Test: Indefinite Integration - Question 17

Detailed Solution: Question 17

JEE Advanced Level Test: Indefinite Integration - Question 18

if   then

Detailed Solution: Question 18

JEE Advanced Level Test: Indefinite Integration - Question 19

Detailed Solution: Question 19

JEE Advanced Level Test: Indefinite Integration - Question 20

 if  A tan-1 x+ Btan-1 x/2+c, then B=

Detailed Solution: Question 20

JEE Advanced Level Test: Indefinite Integration - Question 21

Atan-1 x +Btan-1 x/2+c ,then ( A,B )

Detailed Solution: Question 21


So, A = 1/3 & B = 1/3

JEE Advanced Level Test: Indefinite Integration - Question 22

IF 

Detailed Solution: Question 22

Apply u−substitution: u = x+2

Apply the Sum Rule: 

∫f(x) ± g(x)dx = ∫f(x)dx ± ∫ g(x)dx

Substitute back u=x+2

Simplify


JEE Advanced Level Test: Indefinite Integration - Question 23

 equal to

JEE Advanced Level Test: Indefinite Integration - Question 24

Detailed Solution: Question 24

Put x + 1=t3

JEE Advanced Level Test: Indefinite Integration - Question 25

JEE Advanced Level Test: Indefinite Integration - Question 26

Detailed Solution: Question 26

JEE Advanced Level Test: Indefinite Integration - Question 27

 equals

Detailed Solution: Question 27

JEE Advanced Level Test: Indefinite Integration - Question 28

if 

Detailed Solution: Question 28

Put a 2 cos2 x + b2 sin 2 x= t

JEE Advanced Level Test: Indefinite Integration - Question 29

Detailed Solution: Question 29

Put U = x, V = tax sec2 x

JEE Advanced Level Test: Indefinite Integration - Question 30

Detailed Solution: Question 30

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