Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202119 Aug 2021Evening ShiftMathematicsDefinite IntegrationActual

∫ 0 2   x e x d x =

Options

  1. Ae 2 + 1
  2. Be 2 − 1
  3. Ce − 1 − 1
  4. De − 1 + 1

Correct answer

A. e 2 + 1

Step-by-step solution

∫ 0 2   x e x d x = x ∫ e x d x - ∫ d x d x ∫ e x d x d x 0 2 = x e x - e x 0 2 = 2 e 2 - e 2 - 0 × e 0 - e 0 = e 2 + 1

Practice Definite Integration on Quantrex Academy →

More from Definite Integration

₀^1 2 x+5 x^2+3 x+2 ~d x= 2025₀^1 x^ 5 / 2 (1-x)^ 3 / 2 ~d x= 2025_ n [ 1 n^2 ^2 1 n^2 + 2 n^2 ^2 4 n^2 + 3 n^2 ^2 9 n^2 + + 1 n^2 ^2 1 ]= 2025₀^1 x Sin ⁻¹ x d x= 2025_ - 2 ^ 2 (x-[x]) d x= 2025₀^2 x^2(2-x)^5 d x= 2025If f(x)= Max x^3-4, x^4-4 , and g(x)= Min x^2, x^3 , then _ -1 ^1(f(x)-g(x)) d x= 2025_ n 2 n [ 2 n + 2 2 n + 3 2 n + + 2 ]= 2025 Full Definite Integration list All AP EAMCET PYQs