Consider the following indefinite integral. $$\int \frac{5 x^3+ 7 x^2+ 100 x+ 75 }{x^4+25 x^2}\, dx$$

The integrand has partial fractions decomposition:
$$\frac{a}{x^2} + \frac{b}{x} + \frac{cx + d}{x^2+25}$$ where
$a =$
$b =$
$c =$
$d =$

Now integrate term by term to evaluate the integral.
Answer: $+C$