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

int e^(x)((x+2)/(x+4))^(2)dx

int e^(x)(x-1)(x-2)dx

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

int e^(x)((x-2)/((x-1)^(2)))dx is equal to (i) (e^(x))/(x-1)+C (ii) (e^(x))/((x-1)^(2))+C( iii) (2e^(x))/((x-1)^(2))+C( iv )(e^(x)-1)/(x-1)+C

int e^(x)((x+2)/(x+4))^(2)dx=(f(x)e^(x))/(x+4)+c then the sum f(x)+f^(2)(x)+f^(3)(x)+....oo at x=(1)/(2)

For x in(0,oo) if int(e^(x)(x-2)dx)/(x(x^(2)+e^(x)))=f(x) , f(1)=log_(e)(1+e) then

int e^(x){f(x)-f'(x)}dx=phi(x), then int e^(x)f(x)dx is

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)(sin x + cos x)dx =

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