## rational function integral

how to calculate the calculus of this rational function:

$$\int \frac{dx}{{x+x^6}}$$

could anyone get me through the solution?!
 Recognitions: Homework Help Hint: $$\frac{1}{{x + x^6 }} = \frac{1}{{x\left( {1 + x^5 } \right)}} = \frac{{\frac{1}{{x^6 }}}}{{\frac{{1 + x^5 }}{{x^5 }}}} = \frac{{\frac{1}{{x^6 }}}}{{\frac{1}{{x^5 }} + 1}}$$
 so final result: -0.2* ln(1+x^-5) is that right?

Recognitions:
Homework Help

## rational function integral

yep: need to check an integral, use www.integrals.com

Recognitions:
Homework Help
 Quote by electronic engineer so final result: -0.2* ln(1+x^-5) is that right?
Indeed, if you don't forget the constant of integration