17 JEE Main 2020 Definite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2020 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.
The value of ∫ 0 2 π x sin 8 ⁡ x sin 8 ⁡ x + cos 8 ⁡ x d x is equal to:
Let f x = x - 2 and g x = f f x ,   x ∈ 0 , 4 . Then ∫ 0 3 g x - f x   d x is equal to
If for all real triplets a , b , c , f x = a + b x + c x 2 ; then ∫ 0 1 f x d x is equal to:
Let x and x denote the fractional part of x and the greatest integer ≤ x respectively of a real number x . if …
l i m x → 0 ∫ 0 x t s i n 10 t d t x , is equal to
If the value of the integral ∫ 0 1 2 x 2 1 - x 2 3 2 d x is k 6 , then k is equal to:
lim x → 1 ∫ 0 ( x - 1 ) 2 t cos t 2 d t ( x - 1 ) sin ( x - 1 )
If I = ∫ 1 2 d x 2 x 3 - 9 x 2 + 12 x + 4 , then
The integral ∫ 1 2 e x .   x x   2 + log e   x   dx equals :
The integral ∫ 0 2 x - 1 - x d x is equal to
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