JEE Main 2024 — Definite Integration Questions with Solutions

Let f x = ∫ 0 x g t log e 1 - t 1 + t dt , where g is a continuous odd function. If ∫ - π 2 π 2 f x + x 2 cosx 1 + e x…

If ∫₀⁽ⁱ⁾/⁽⁴⁾ ( ² x)/(1+ x x) ~d x=1a e (a3 )+πb √(3), where a, b N, then a+b is equal to_________

The value of the integral ∫ 0 π 4 x d x sin 4 2 x + cos 4 2 x equals:

The value of ∫₋π^π (2 y(1+ y))/(1+ ² y) d y is :

The value of lim n → ∞ ∑ k = 1 n n 3 n 2 + k 2 n 2 + 3 k 2 is :

If ∫ π 6 π 3 1 - sin 2 x d x = α + β 2 + γ 3 , where α , β and γ are rational numbers, then 3 α + 4 β - γ is equal to _…

If the integral 525 ∫ 0 π 2 sin 2 x cos 11 2 x 1 + cos 5 2 x 1 2 d x is equal to n 2 − 64 , then n is equal to ________

If f(t)=∫₀^π 2 x ~d x1- ² t ² x, 0 < t < π, then the value of ∫₀⁽ⁱ⁾/⁽²⁾ π² dtf(t) equals_________

For 0 < a < 1 , the value of the integral ∫ 0 π d x 1 - 2 a cos x + a 2 is :

If the value of the integral ∫ - π 2 π 2 x 2 cos x 1 + π x + 1 + sin 2 x 1 + e sin x 2023 d x = π 4 π + a - 2 , then th…