Find ` int (1-(1)/(x^2))e^((x+(1)/(x)))dx ` on I where `I=(0,oo)` .

I=int_(-oo)^(1)(1)/(x^(2))dx

Evaluate the integerals. int (e ^(Tan ^(-1)x))/(1+x^(2))dx on I sub (0,oo).

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

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

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

I=int_(0)^(oo)(dx)/(1+e^(x))

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

Evaluate (i) int_(0)^(1) (dx)/(e^(x)+e^(-x))