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

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

Read the following text and answer the followig questions on the basis of the same : inte^(x)[f(x) + f'(x)]dx = int e^(x)f(x)dx + int e^(x) f'(x)dx = f(x)e^(x) - int f'(x)e^(x)dx + int f'(x)e^(x)dx = e^(x)f(x) + c int e^(x)((x-1)/(x^(2)))dx = __________.

Evaluate: int e^(x)((x-4))/((x-2)^(3))dx

int e^(x)x(x+2)dx

int e^(x)x(x+2)dx

int e^(x)x(x+2)dx

int e^(x)(3+x)dx

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

(i) int (e^(x) .(1-x))/(x^(2))dx (ii) int ((1+sin x)/(1+cos x))e^(x) dx

Evaluate int(e^(x)(x+2))/((x+3)^(2))dx