" (E) (i) "int_(0)^(1)sin^(-1)((2x)/(1+x^(2)))dx

Evaluate the following integrals (i) int_(0)^(1) sin^(-1)((2x)/(1+x^(2)))dx

int_(0)^(1)(e^(x)*x)/((1+x)^(2))dx

int_(0)^(1)(e^(-2x))/(1+e^(-x))dx=

int_(0)^(1)(e^(-2x))/(1+e^(-x))dx=

Evaluate: (i) int5^(x)+tan(-1)x((x^(2)+2)/(x^(2)+1))dx (ii) int(e^(m)sin(-1)x)/(sqrt(1-x^(2)))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_(0)^(1)e^(2x)e^(e^(x) dx

int_(0)^(1)(e^(x))/((1+e^(2x)))dx

Evaluate : (i) int_(0)^(1)sin^(-1)xdx , (ii) int_(1)^(2)(lnx)/(x^(2))dx , (iii) int_(0)^(1)x^(2)sin^(-1)xdx .