Integrate `1/2f'(x)` w.r.t. `x^4`, where `f(x)=tan^(-1)x+lnsqrt(1+x)-lnsqrt(1-x)`

Integrate (1)/(x(x+2)) w.r.t x

Integrate (x-1)/(x+1) w.r.t.x

Integrate (1)/(6-x^(2)) w.r.t. x.

Integrate (1)/(9x^(2)+16) w.r.t. x.

Integrate (1)/(9x^(2)+49) w.r.t x.

Integrate xsqrt(1+x^(2)) w.r.t x.

Integrate (x^(2))/(1-x^(6)) w.r.t. x.

Find the derivative of f (x) w.r.t. g(x) for the f (x) = Tan ^(-1) ((sqrt (1 + x ^(2)) -1)/( x )), g (x) = Tan ^(-1) x

Integrate (1)/(sqrt(4x^(2)-1)) w.r.t x.

Integrate (x-1)/(sqrt(x^(2)-1)) w.r.t