Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2018MathematicsDefinite Integration

( ₀¹ d x e^ x +e^ -x ) is equal to

Options

  1. A( 4 - ⁻¹( e ) )
  2. B( ⁻¹(e)- 4 )
  3. C( ⁻¹(e)+ 4 )
  4. D( ⁻¹( e ) )

Correct answer

B. ( ⁻¹(e)- 4 )

Step-by-step solution

Given that ( ₀¹ d x e^ x +e^ -x = ₀¹ e^ x e^ 2 x +1 d x ) ( = [ ⁻¹ (e^ x ) ]₀¹= ⁻¹(e)- 4 )

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 KCET PYQs