" (iv) "(u+2)^(3)=2u(u^(2)-1)

if a+ib=((u+i)^(2))/(2u-i) then prove that a^(2)+b^(2)=((u^(2)+1)^(2))/(4u^(2)+1)

Find the point of discontinuity of y=f(u) where f(u)=(3)/(2u^(2)+5u-3) and u=(1)/(x+2)

If y=tan[(1)/(2)cos^-1((1-u^(2))/(1+u^(2)))+(1)/(2)sin^(-1)((2u)/(1+u^(2)))]" and "x=(2u)/(1-u^(2))," then: "(dy)/(dx)=

The square root of the complex number z= (u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is (in terms of u, v, w )

int (du) / (u sqrt (u ^ (2) -1))

If quad tan((1)/(2)(cos^(-1))(1-u^(2))/(1+u^(2))+(1)/(2)(sin^(-1))(2u)/(1+u^(2))) and x=(2u)/(1-u^(2)) then (dy)/(dx)

Discuss the continuity for f(x)=(1-u^(2))/(2+u^(2)) where u=sec x.