7 JEE Main 2024 Indefinite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2024 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.
If ∫ sin 3 2 x + cos 3 2 x sin 3 x cos 3 x sin ( x - θ ) d x = A cos θ tan x - sin θ + B cos θ - sin θ cot x + C , wher…
Let ∫ (2- x)/(3+ x) ~d x=(1)/(2) (α x+ e|β x+γ x| )+C, where C is the constant of integration. Then α+(γ)/(β) is equal…
If ∫ 1a² ² x+b² ² x ~d x=(1)/(12) ⁻¹(3 x)+ constant, then the maximum value of a x+b x, is :
If ∫ cosec⁵ x d x=α x cosec x (cossc² x+(3)/(2) )+β ε | (x)/(2) |+C where α, β R and C is the constant of integration,…
If ∫ 1[5](x-1)⁴(x+3)⁶ ~d x=A ((α x-1)/(β x+3) )^B+C, where C is the constant of integration, then the value of α+β+20 A…
The integral ∫ x 8 - x 2 dx x 12 + 3 x 6 + 1 tan - 1 x 3 + 1 x 3 is equal to :
Let I(x)=∫ (6)/( ² x(1- x)²) d x. If I(0)=3, then I ((π)/(12) ) is equal to