Integrate (5+10y^4)dy/(y+2y^5) using substitution

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Homework Statement



I want to deal with this int((5+10y^4)dy/(y+2y^5))

Homework Equations



integration, substitution, partial fractions?


The Attempt at a Solution



I tried a bunch of random things. I think it hs to do with substitution because if I make u=y+2y^5, du/dy=1+10y^4 which is strikingly similar to the numerator, so there must be a cancellation. this integral is part of a dif equation, but i can't see to go past this! i know for sure this is the correct set up because i used my calculator to integrate and it solved the differential equation.
 

Discussion

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Uh, the ratio of those two polynomials is a VERY SIMPLE THING. Can you find it? Factor them.
 
Try this :
5 + 10y^4 = 4 + 1 + 10y^4

after you get it, think of a crafty substitution
 
aostraff said:
Try this :
5 + 10y^4 = 4 + 1 + 10y^4

after you get it, think of a crafty substitution

Think of a crafty cancellation before you do the crafty substitution.
 
jesus i feel like a complete retard. i hate when i don't get something as obvious.i factored both and canceled that nasty factor and then everything went smooth, thanks a bunch gentlemen.