int(dx)/(t^(2)+(2)^(2))

int(dx)/((a^(2)-x^(2))^(2))-(1)/(2a^(2))int(dx)/(a^(2)-x^(2))

Transform the integral int_(0)^(3) (x-2)^(2) dx by the substitution (x - 2) = t

If x=int_c^(sint)sin^(-1)z dz ,y =int_k^(sqrt(t))(sinz^2)/zdz, then (dy)/(dx) is equal to (a) (tant)/(2t) (b) (tant)/(t^2) (c) t/(2t^2) (d) (tan t)/(2t^2)

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

(d)/(dx)int_(t^(2))^(x^(3))(dt)/(sqrt(x^(2)+t^(4)))

int(2t^(2))/(t^(2)+t-2)backslash dt

If =f''(t)cos t+f'(t)sin t,y=-f''(t)sin t+f'(t)cos t, then int[((dx)/(dt))^(2)+((dy)/(dt))^(2)]^((1)/(2))dt is equal to

If int_(0)^(y)e^(-t^(2))dt+int_(0)^(x^(2))sin^(2)tdt=0 , then (dy)/(dx) at x=y=1 is

int(t+2)/((t^(2)+4t+2))dt

int_(3)^(5)(t^(2))/(t^(2)-4)dx=.............