`"I f"intsqrt(x/(a^3-x^3))dx=d/bsin^(- 1)((x^(3/2))/(a^(3/2)))+C` (where `b & d` are coprime integer) then `b + d` equals to.

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals:

If intsqrt(1-cosx)f(x)dx=2/3(1-cosx)^(3//2)+c where c is constant of integration then f(x) equals:

If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) then (d)/(dx)(f(x)) is equal to

If int((2x+3)dx)/(x(x+1)(x+2)(x+3)+1)=C-(1)/(f(x)) where f(x) is of the form of ax^(2)+bx+c , then(a+b+c) equals to …….

If int ((2x+3)dx)/(x(x+1)(x+2)(x+3)+1)=C-1/(f(x)) where f(x) is of the form of ax^(2)+bx+c then (a+b+c) equals

If (d(f(x))/(dx)=(1)/(1+x^(2)) then (d)/(dx){f(x^(3))} is

If int (dx)/(x ^(4) (1+x^(3))^2)=a ln |(1+x ^(3))/(x ^(3))| +(b)/(x ^(3)) +(c)/(1+ x^(2)) +d. then (where d is arbitrary constant)