rational function integral

electronic engineer

how to calculate the calculus of this rational function:

[tex] \int \frac{dx}{{x+x^6}} [/tex]

could anyone get me through the solution?!

TD

Hint:

[tex]\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}}[/tex]

electronic engineer

so final result:

-0.2* ln(1+x^-5)

is that right?

benorin

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

TD

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

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electronic engineer	rational function integral Tweet how to calculate the calculus of this rational function: [tex] \int \frac{dx}{{x+x^6}} [/tex] could anyone get me through the solution?!

TD Recognitions: Homework Help	Hint: [tex]\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}}[/tex]

benorin Recognitions: Homework Help	rational function integral yep: need to check an integral, use www.integrals.com