Evaluate `int 1/(sqrtt+1)dt`

int(1)/(tsqrt(t^(2) -1))dt

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

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

Evaluate (i) int_(-2)^(1)(tan^(-1)x+cot^(-1).(1)/(x))dx (ii) int_(2)^(4)sqrt(t-1-2sqrt(t-2))dt .

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

If int_(sinx)^(1)t^(2)f(t)dt=1-sinx, xepsilon(0,(pi)/2) then find the value of f(1/(sqrt(3)))

Evaluate (d)/(dx)(int_(1//x)^(sqrtx) cos t^(2) dt)

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

f(x)=x^(3)+1-2x int_(0)^(x)g(t)dt and g(x)=x-int_(0)^(1)f(t)dt. Then yhe value of int_(0)^(1)f(t)dt lies in the interval