6 JEE Main 2003 Definite Integration previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2003 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.
Let f(x) be a function satisfying fⁱme(x)=f(x) with f(0)=1 and g(x) be a function that satisfies f(x)+g(x)=x². Then the…
The value of the integral I=∫₀¹ x(1-x)ⁿ d x is
The value of x → ₀ ∫₀x^² ² t d tx x is
If f(a+b-x)=f(x) then ^b xf(x) dx is equal to
If f(y)=ey, g(y)=y ; y>0 and F(t)=∫₀t f(t-y) g(y), then
Let (d)/(d x) F(x)= (esⁱⁿx x ) x>0. If ∫₁⁴ (3)/(x) esⁱⁿ ^³ d x=F(k)-F(1) then one of the possible values of k, is