int(1)/(sqrt(1-y^(2)))dy

int1/sqrt(1-y^2)dy

int_ (0) ^ (1) (log y) / (sqrt (1-y ^ (2))) dy

If variables x and y are related by the equation x=int_(0)^(y)(1)/(sqrt(1+9u^(2))) du, then (dy)/(dx) is equal to

If variables x and y are related by the equation x=int_(0)^(y)(1)/(sqrt(1+9u^(2))) du, then (dy)/(dx) is equal to

int sqrt(4-y^(2))dy

If y = int_(0)^(x) (t^(2))/(sqrt(t^(2)+1))dt then (dy)/(dx) at x=1 is

(dy)/(dx)=(sqrt(x^(2)-1))/(sqrt(y^(2)-1))

Solve the following differential equations. (i) (dy)/(dx) =(1+y^(2))/(1+x^(2)) (ii) (dy)/(dx) = (sqrt(1-y^(2)))/(sqrt(1-x^(2))) (iii) (dy)/(dx) = 2y tan hx (iv) sqrt(1+x^(2))dx + sqrt(1+y^(2))dy = 0 (v) (dy)/(dy) = e^(x-y)+x^(2)e^(-y)

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

int_0^1y^2sqrt(1-y^2)dy