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JEE Main 35 Year PYQs- Indefinite Integrals Free MCQ Practice Test [Updated]


MCQ Practice Test & Solutions: Test: JEE Main 35 Year PYQs- Indefinite Integrals (11 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 "Test: JEE Main 35 Year PYQs- Indefinite Integrals". These 11 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: 20 minutes
  • - Number of Questions: 11

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Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 1

Let F(x) be an indefinite integral of sin2x.

STATEMENT-1 : The function F(x) satisfies F(x + π) = F(x) for all real x. because

STATEMENT-2 : sin2(x + π) = sin2x for all real x.

Detailed Solution: Question 1


Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 2

Ax + B log sin(x - α)+ C, then value of (A, B) is

Detailed Solution: Question 2


Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 3

Detailed Solution: Question 3


Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 4

Detailed Solution: Question 4



Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 5

Detailed Solution: Question 5



But we know that 

Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 6

Detailed Solution: Question 6



Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 7

then a is equal to :

Detailed Solution: Question 7





Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 8

Detailed Solution: Question 8


Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 9

The integral  is equal to

Detailed Solution: Question 9


Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 10

Detailed Solution: Question 10

Test: JEE Main 35 Year PYQs- Indefinite Integrals - Question 11

The integral  is equal to :

Detailed Solution: Question 11

Dividing by x15 in numerator and denominator



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