8 JEE Main 2025 Indefinite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2025 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 ∫ (√(1+x²)+x )¹⁰ (√(1+x²)-x )⁹ d x= (1)/(m) ( (√(1+x²)+x )ⁿ (n √(1+x²)-x ) )+C where C is the constant of integratio…
If f(x)=∫ 1x¹ / ⁴ (1+x¹ / ⁴ ) d x, f(0)=-6, then f(1) is equal to :
If ∫ e^x (x ⁻¹ x√(1-x²)+ ⁻¹ x (1-x² )³ / ²+(x)/(1-x²) ) d x=g(x)+C, where C is the constant of integration, then g ((1)…
If ∫ 2 x²+5 x+9√(x²+x+1) ~d x=x √(x²+x+1)+α √(x²+x+1)+β e |x+(1)/(2)+√(x²+x+1) |+C, where C is the constant of integrat…
Let I(x)=∫ d x(x-11)⁽¹¹⁾/⁽¹³⁾(x+15)⁽¹⁵⁾/⁽¹³⁾. If I(37)-I(24)=(1)/(4) (1~b⁽¹⁾/⁽¹³⁾-1c⁽¹⁾/⁽¹³⁾ ), b, c N, then 3(~b+c) is…
Let ∫ x³ x ~d x=g(x)+C, where C is the constant of integration. If 8 (g ((π)/(2) )+gⁱme ((π)/(2) ) )=α π³+β π²+γ, α, β,…
If aligned ∫ ((1)/(x)+(1)/(x³) ) & ([23]3 x⁻²⁴+x⁻²⁶ ) d x \ & =-(α)/(3(α+1)) (3 x^β+x^γ )⁽α⁺¹⁾/⁽α⁾+C, x 0,aligned (α, β…
Let f(x)=∫ x³ √(3-x²) d x. If 5 f(√(2))=-4, then f(1) is equal to