" 10.(i) "int e^(x)((1)/(x^(2))-(2)/(x^(3)))dx

" *10."int e^(x)((1)/(x)-(1)/(x^(2)))dx

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

(i)int(x^(3)-1)/(x^(2))dx(ii)int(x^(2/3)+1)dx

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

I=int(e^(2x)-1)/(e^(2x))dx

Evaluate: (i) int((x+1)e^(x))/(cos^(2)(xe^(x)))dx (ii) int x^(2)e^(x)-3cos(e^(x)-3)dx

If I_(1) int sin^(-1) ((2x)/(1 +x^(2)) ) dx , I_(2) = int cos^(-1) ((1-x^(2))/(1 +x^(2)) ) dx , I_(3) = int tan^(-1) ((2x)/(1 - x^(2)) ) dx , then I_(1) + I_(2) - I_(3) =

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

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

If I_(1)=int_(0)^(1)(e^(x))/(1+x)dx aand I_(2)=int_(0)^(1)(x^(2))/(e^(x^(3))(2-x^(3)))dx then (I_(1))/(I_(2)) is