Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
COMEDK2017MathematicsIndefinite Integration

The value of e^ 2 x (2 3 x+3 3 x) d x is

Options

  1. Ae^ 2 x 3 x+C
  2. Be^ x cosec x+C
  3. Ce^ 2 x +C
  4. De^ 2 x ( 3 x)+C

Correct answer

A. e^ 2 x 3 x+C

Step-by-step solution

e^ 2 x (2 3 x+3 3 x) d x=2 e^ 2 x 3 x d x+3 e^ 2 x 3 x d x=e^ 2 x 3 x-3 e^ 2 x 3 x d x+3 e^ 2 x 3 x d x+C=e^ 2 x 3 x+C

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 COMEDK PYQs