Home
Class 12
MATHS
If int x^(2) e^(3x) dx = e^(3x)/27 f(x) ...

If `int x^(2) e^(3x) dx = e^(3x)/27 f(x) +c`, then f(x)=

A

(A) `x^2 e^(3x)+e^(3x) x^3/3+c`

B

(B) `1/3x^2 e^(3x)+2/9e^(3x)+c`

C

(C) `1/3x^2 e^(3x)-2/9 x e^(3x)+2/27e^(3x)+c`

D

(D) `1/3x^2 e^(3x)+2/9 x e^(3x)+c`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If int x^(3)e^(5x)dx=(e^(5x))/(5^(4))(f(x))+c then f(x)=

inte^(x)tan^(2)(e^(x))dx=

int (x^(e-1) +e^(x-1))/(x^e+e^x) dx

int x^2 e^(3x) dx=............ A) (1/3) x^2 e^(3x) - (2/9) x e^(3x) + (2/27) e^(3x) + c B) -(1/3) x^2 e^(3x) - (2/9) x e^(3x) + (2/27) e^(3x) + c C) (1/3) x^2 e^(3x) + (2/9) x e^(3x) - (2/27) e^(3x) + c D) (1/3) x^2 e^(3x) - (2/9) x e^(3x) - (2/27) e^(3x) + c

If y=e^(x).e^(2x).e^(3x)…..e^(nx) , then (dy)/(dx) =

int(dx)/(e^(2x)-3e^(x))=