Let `int x^(1/2)/sqrt(1-x^3)dx=2/3 g(f(x))+c` then

int(x^((1)/(2)))/(sqrt(1-x^(3)))dx=(2)/(3)go f(x)+c then....

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is

Let f(x)=int x^2/((1+x^2)(1+sqrt(1+x^2)))dx and f(0)=0 then f(1) is

If int(2x-sqrt(sin^(-1)x))/(sqrt(1-x^(2)))dx=C-2sqrt(1-x^(2))-(2)/(3)sqrt(f(x)) then f(x) is equal to

Let int(dx)/(sqrt(x^(2)+1)-x)=f(x)+C such that f(0)=0 and C is the constant of integration, then the value of f(1) is

Let int(dx)/(sqrt(x^(2)+1)-x)=f(x)+C such that f(0)=0 and C is the constant of integration, then the value of f(1) is

If int(x-1)/(x^2sqrt(2x^2-2x-1))dx = sqrt(f(x))/g(x) +c then the value of f(x) and g(x) is

Let int((1+x^4)dx)/((1-x^4)(3/2))=f(x)+C_(1) where f(0)=0 and int(f(x)dx=g(x)+C_(2) with g(0)=0. If g((1)/(sqrt2))=(pi)/(k) . Find k.