Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2009MathematicsIndefinite Integration

( 2- 2 x 1- 2 x ) e^x d x is equal to

Options

  1. A-e^x x+c
  2. Be^x x+c
  3. C2 e^x x+c
  4. D-2 e^x x+c

Correct answer

A. -e^x x+c

Step-by-step solution

Let aligned I & = ( 2- 2 x 1- 2 x ) e^x d x & = ( 2-2 x x 2 ^2 x ) e^x d x & = cosec ^2 x e^x d x- x e^x d x & =- x e^x- (- x) e^x d x & - x e^x d x+c & =- x e^x+c aligned

Practice Indefinite Integration on Quantrex Academy →

More from Indefinite Integration

If 5 x x -2 dx = ax + b | x -2 x |+ c , then a + b = 2025x Cos ⁻¹ ( 1-x^2 1+x^2 ) d x(x>0)= 2025d x (1+ x ) x-x^2 = 2025If x x x+1 ~d x= f (x)+ k , then f ( 4 )= 2025If x^4+1 x^2+1 d x=A x^3+B x^2+C x+D Tan ⁻¹ x+E , then A+B+C+D= 2025If x^2-x+2 x^2+x+2 d x=x- (f(x))+ 2 7 Tan ⁻¹(g(x))+c , then f (-1)+ 7 ~g (-1)= 2025(x- 3 ) (x+ 6 ) d x= 2025If a x+3 x 5 x+2 x d x= 26 29 x- k 29 |5 x+2 x|+c , then |a+k|= 2025 Full Indefinite Integration list All AP EAMCET PYQs