`intt^(2)sqrt(1-t)dt`

int_(0)^(1)t^(2)sqrt(1-t)*dt

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

f(x)=int_(0)^(x^(2))((sin^(-1)sqrt(t))^(2))/(sqrt(t))dt

" (a) "int(dt)/(sqrt(1-t^(2)))

int_(0)^(1)t^(5)*sqrt(1-t^(2))*dt

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

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

int_(0)^(9)[sqrt(t)]dt

if x=sqrt((1-t^(2))/(1+t^(2))),y=(sqrt(1+t^(2))-sqrt(1-t^(2)))/(sqrt(1+t^(2))+sqrt(1-t^(2))) then (dy)/(dx)

Find (dx)/(dt) when x = sin^-1(t.sqrt(1-t) +sqrt(t) sqrt(1-t^2)) .