JEE Main 2023 — Definite Integration Questions with Solutions

For m ,   n > 0 , let α m , n = ∫ 0 2 t m 1 + 3 t n d t . If , 11 α 10 , 6 + 18 α 11 , 5…

Let f be a continuous function satisfying ∫ 0 t 2 f ( x ) + x 2 dx = 4 3 t 3 , ∀ t > 0 . Then f π…

The value of the integral ∫ - π 4 π 4 x + π 4 2 - cos 2 x d x is :

The value of 8 π ∫ 0 π 2 cos x 2023 sin x 2023 + cos x 2023 d x is ______.

The minimum value of the function f x = ∫ 0 2 e x - t d t is

If ∫ 0 1 1 5 + 2 x - 2 x 2 1 + e 2 - 4 x d x = 1 α log e α + 1 β ,   α ,   β &…

The value of the integral ∫ 1 2 t 4 + 1 t 6 + 1 d t is :

Let the function f : 0 , 2 → ℝ be defined as f x = e min x 2 , x - x , x ∈ [ 0 , 1 ) e x - log e x ,…

Let f be a differentiable function defined on 0 , π 2 such that f x > 0 and f x + ∫ 0 x f t 1 - log e f…

Let for x ∈ ℝ ,   S 0 x = x ,   S k x = C k x + k ∫ 0 x S k - 1 t d t where C 0 = 1 , &#160…