39 JEE Main 2022 Definite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 previous-year questions from the Definite Integration chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Definite Integration chapter hub.
∫ 0 5 cos π x - x 2 d x , where t denotes greatest integer less than or equal to t , is equal to
Let f : R → R be a differentiable function such that f π 4 = 2 , f π 2 = 0 and f ' π 2 = 1 and let…
The integral ∫ 0 1 1 7 1 x d x , where · denotes the greatest integer function, is equal to
If a = lim n → ∞ ∑ k = 1 n 2 n n 2 + k 2 and f x = 1 - cos x 1 + cos x , x ∈ 0 , 1 , then:
The value of ∫ 0 π e cos x sin x 1 + cos 2 x e cos x + e - cos x d x is equal to
lim n → ∞ 1 2 n 1 1 - 1 2 n + 1 1 - 2 2 n + 1 1 - 3 2 n + … . + 1 1 - 2 n - 1 2 n is equal to
Let I n x = ∫ 0 x 1 t 2 + 5 n d t , n = 1 , 2 , 3 , … . Then
∫ 0 20 π sin x + cos x 2 d x is equal to:
Let f be a real valued continuous function on 0 ,   1 and f x = x + ∫ 0 1 x - t f t d t . Then which of the…
Let f be a differentiable function in 0 , π 2 . If ∫ cos x 1 t 2 f t d t = sin 3 x + cos x , then 1 3 f ' 1…
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