`int e^(x)*(2-x)/((1-x)^(2))dx`

Evaluate: int e^(x)(1+x)/((2+x)^(2))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

Evaluate: int e^(x)((x-1)/(2x^(2)))dx

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

Evaluate: int e^(x)(x^(2)+1)/((x+1)^(2))dx

int e^(x)((x^(2)-3)/((x-1)^(2)))dx is equal to

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

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

int(e^(x)+(1)/(x)+2x^(2)+3)dx