Evaluate: `inte^(t)sin(t) .dt`

Evaluate int_(0)^(oo)(dt)/(t)

int e^(t)(cost-sin t)dt

If int_(0)^(1)(e^(t)dt)/(t+1)=a, then evaluate int_(b-1)^(b)(e^(t)dt)/(t-b-1)

Evaluate intsqrt (2+sin3t) cos3t dt

Evaluate int^t _0 A sin omega dt where A and omega are constants.

Evaluate int(t^(2))/(sqrt(1-t^(2)))dt

Evaluate int_(-oo)^(0)(te^(t))/(sqrt(1-e^(2t)))dt

The value of int_(e^(-1))^(e) (dt)/(t(t+1)) is equal to

The value of int_(0)^(sin^(2)) sin^(-1)sqrt(t)dt+int_(0)^(cos^(2)x)cos^(-1)sqrt(t)dt , is

Evaluate indefinite integration. (i) x=intdt " " (ii) int t dt " " (iii) x=int (2t) dt" " (iv) x=int (t^(2)) dt " " (v) x=int (-(2)/(t^3))dt