Question

integrate (x+10)/(2x^2+5x-3)

Answer 1

Do you know how to do partial fractions?

Answer 2

Try to find A and B such that:
\[\frac{x+10}{(x+3)(2x-1)}=\frac{A}{x+3}+\frac{B}{2x-1}.\]

Answer 3

Then the integration will be trivial.