`int(1)/(sqrt(t))dt`

int(1)/(sqrt(t)+1)dt

int1/(sqrtt(1+t))dt

int(dt)/( sqrt(t-1))

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

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

int(dt)/( sqrt(1-t)-t)

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

(1)/(3)int(t*dt)/(sqrt(1+t))

int(dt)/(sqrt(3t-2t^2))

In the equation int(dt)/(sqrt(2at-t^(2)))=a^(x) sin^(-1)[t/a-1] . The value of x is