int(1-x^(2))^(3)dx,x in(-1,1)

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

int_(-1)^(1)3x^(2)dx

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

int_(1)^(2) (x^3+1) dx

int_(1)^(3)(2x+1)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(1)/(x^(1/2)+x^(1/3))dx

Evaluate : (i) int(3x^(2))/((1+x^(6)))dx (ii) int(x^(3))/((x^(2)+1)^(3))dx (iii) (x^(8))/((1-x^(3))^(1//3))dx

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