If `x=int_0^y (dt)/sqrt(1+9t^2)` and `(d^2y)/(dx^2)=ay`, then find a

If x=int_(0)^(y)sqrt(1+t^(2))dt, find (dy)/(dx)

If x=int_(0)^(y)(1)/(sqrt(1+4t^(2))) dt, then (d^(2)y)/(dx^(2)) , is

Variable x and y are related by equation x=int_(0)^(y)(dt)/(sqrt(1+t^(2)))* The value of (d^(2)y)/(dx^(2)) is equal

int_0^1 int_0^sqrt(1+x^2) (dy dx)/(1+x^2+y^2)

int_0^2 int_0^sqrt(4+x^2) (dx dy)/(4+x^2+y^2) =

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

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