10 JEE Main 2021 Indefinite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 previous-year questions from the Indefinite 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 Indefinite Integration chapter hub.
For real numbers α , β , γ and δ , if ∫ x 2 - 1 + tan - 1 x 2 + 1 x x 4 + 3 x 2 + 1 tan - 1 x…
If ∫ sin x sin 3 x + cos 3 x   d x = α log e | 1 + tan x | + β log e 1 - tan x + tan 2 x + γ…
If ∫ d x x 2 + x + 1 2 = a tan - 1 2 x + 1 3 + b 2 x + 1 x 2 + x + 1 + C ,   x > 0 where C is the consta…
The integral ∫ e 3 log e 2 x + 5 e 2 log e 2 x e 4 log e x + 5 e 3 log e x - 7 e 2 log e x   d x ,   x…
The value of the integral ∫ sin θ · sin 2 θ sin 6 θ + sin 4 θ + sin 2 θ 2 sin 4 	…
The integral ∫ 1 ( x - 1 ) 3 ( x + 2 ) 5 4   d x is equal to : (where C is a constant of integration)
If f x = ∫ 5 x 8 + 7 x 6 x 2 + 1 + 2 x 7 2 d x ,   x ≥ 0 ,   f 0 = 0 and f 1 = 1 K , then the val…
∫ 2 e x + 3 e - x 4 e x + 7 e - x d x = 1 14 u x + v log e 4 e x + 7 e - x + C , where C is a constant of integra…
The integral ∫ ( 2 x - 1 ) cos ( 2 x - 1 ) 2 + 5 4 x 2 - 4 x + 6 d x is equal to (where c is a constant of integr…
If ∫ cos x - sin x 8 - sin 2 x   d x = a sin - 1 sin x + cos x   b + c , where c is a constant of integ…