The primitive of the function f(x)=≤ft(1-1/(x^2)) a^x+1/x, x>0, is

The primitive of f(x) is

$\int\left(1-\frac{1}{x^2}\right) a^{x+\frac{1}{x}} d x=\int a^{x+\frac{1}{x}} d\left(x+\frac{1}{x}\right)=\frac{a^{x+\frac{1}{x}}}{\log _e a}+C$