Evaluate `int (dt)/(cost+sint)`

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

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

Evaluate : int ("cost (log x)")/(x) " dx "

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

The curve represented by x = 3 (cost + sint), y = 4(cost – sint) , is

If (1+sint)(1+cost)=5/4dot Find the value (1-sint)(1-cos t)

If x=2(cost-sint) and y=3 (cost+ sint) represents a conic,its foci are

If f (x) =int _(0)^(g(x))(dt)/(sqrt(1+t ^(3))),g (x) = int _(0)^(cos x ) (1+ sint ) ^(2) dt, then the value of f'((pi)/(2)) is equal to:

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