21 JEE Main 2019 Definite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2019 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 sin ⁡ 2 x 1 + cos ⁡ 3 x d x , where [ t ] denotes the greatest integer func…
The integral ∫π / ₆ⁱ / ⁴ d x 2 x ( ⁵ x+ ⁵ x ) equals:
If ∫ 0 x f t d t = x 2 + ∫ x 1 t 2 f t d t , then f ' 1 2 is
The value of the integral ∫ 0 1 x c o t - 1 1 - x 2 + x 4 d x is
If f x = 2 - x c o s x 2 + x c o s x and g ( x ) = log e ⁡ x , then the value of the integral ∫ - π 4…
If f : R → R is a differentiable function and f 2 = 6 , then l i m x → 2 ∫ 6 f x 2 t d t x - 2 is:
Let f : R → R be a continuous and differentiable function such that f 2 = 6 and f ' 2 = 1 48 . If ∫ 6 f ( x…
The value of ∫ 0 π / 2 s i n 3 x s i n x + c o s x d x is:
If ∫ 0 π / 3 tan ⁡ θ 2 k   sec ⁡ θ d θ = 1 - 1 2 ,   ( k > 0 ) , t…
If ∫ 0 π 2 c o t x c o t x + cosec x d x = m ( π + n ) , then m n is equal to
Log in to unlock the full list, track what you've solved, and practice on the TCS iON-style CBT player. It's free.