Atomos Test Generator Free PYQs ExamsMy practice Log in / Sign up free

Integrals

Previous year questions with solutions · 2024 – 2026

5Questions
3Papers covered
2.94%Weightage 2026▼ 5.9% vs last year
’24
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
YearQuestionsPapersAvg / paperWeightage
2026120.52.94% ▼ 5.9% vs last year
2025120.53.12% ▼ 64.6% vs last year
2024321.58.82%

5 questions · newest paper first

Ques. 1JEE Advanced 2026 (Paper-2)

The value of the definite integral 02 13x+3 dx is

  1. 12
  2. 13
  3. e 33
  4. e 32
Ques. 2JEE Advanced 2025 (Paper-2)

If = 122 -1x2x2-3x+2 dx, then the value of 7 ( 2 7 ) is . (Here, the inverse trigonometric function -1x assumes values in (- 2, 2 ).)

Ques. 3JEE Advanced 2024 (Paper-2)

Let the function f:[1, ) R be defined by f(t)= cases(-1)n+12, & if t=2n-1, n N,\ (2n+1-t)2f(2n-1)+ (t-(2n-1))2f(2n+1), & if 2n-1<t<2n+1, n N. cases Define g(x)= 1xf(t) dt, x (1, ). Let denote the number of solutions of the equation g(x)=0 in the interval (1,8] and = x 1+ g(x)x-1. Then the value of + is equal to .

Ques. 4JEE Advanced 2024 (Paper-2)

The value of 2 0 2f(x)g(x) dx- 0 2g(x) dx is .

Ques. 5JEE Advanced 2024 (Paper-2)

The value of 16 3 0 2f(x)g(x) dx is .