51 JEE Main 2021 Definite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 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.
Let a be a positive real number such that ∫ 0 a e x - x d x = 10 e - 9 where, [ x ] is the greatest integer less…
The value of ∫ - 2 2 3 x 2 - 3 x - 6 d x is
The value of the definite integral ∫ - π 4 π 4 d x 1 + e x cos x sin 4 x + cos 4 x is equal to :
If the value of the integral ∫ 0 5 x + [ x ] e x - [ x ] d x = α e - 1 + β , where α ,   ^…
The value of the integral ∫ 0 1 x d x ( 1 + x ) ( 1 + 3 x ) ( 3 + x ) is:
Let F : 3 , 5 → R be a twice differentiable function on 3 , 5 such that F x = e - x ∫ 3 x 3 t 2 + 2 t + 4 F…
Let P x = x 2 + b x + c be a quadratic polynomial with real coefficients such that ∫ 0 1 P x d x = 1 and P x leav…
The value of the integral ∫ - 1 1 log x + x 2 + 1 d x is:
∫ 6 16 log e x 2 log e x 2 + log e x 2 - 44 x + 484 d x is equal to
If ∫ - a a x + x - 2 d x = 22 ,   a > 2 and x denotes the greatest integer ≤ x , then ∫ a -…
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