If `int(xcosalpha+1)/((x^2+2xcosalpha+1)^(3/2))dx=(f(x))/(sqrt(g(x)))+c` then find `f(x)`

Evaluate: int(xcosalpha+1)/(x^2+2xcosalpha+1)^(3/2)

Evaluate: int(xcosalpha+1)/(x^2+2xcosalpha+1)^(3/2)

If int ((x cos alpha+1)dx)/((x^(2)+2x cos alpha+1)^(3//2))=(f(x))/(sqrt(x^(2)+2x cos alpha+ 1))+c then f(x)=

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

If f(x)=int 2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2)))dx , then f is

If f(x)=int 2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2)))dx , then f 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

f(x) = int(x^(2)+x+1)/(x+1+sqrt(x))dx , then f(1) =

f(x) = int(x^(2)+x+1)/(x+1+sqrt(x))dx , then f(1) =