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∫[6x^6 sin (9x)]/[1+x^10] * dx

I've set u =x^6

du=6x^5*dx

dx=du/6x^5

∫[6x^6 sin (9x)]/[1+x^10] * (du/6x^5)

=

∫[x*sin(9x)*du]/1+x^10.

Can someone help me figure out the next step? I'm thinking of putting a constant out in front, so I can use 2du for (x^10)

I've set u =x^6

du=6x^5*dx

dx=du/6x^5

∫[6x^6 sin (9x)]/[1+x^10] * (du/6x^5)

=

∫[x*sin(9x)*du]/1+x^10.

Can someone help me figure out the next step? I'm thinking of putting a constant out in front, so I can use 2du for (x^10)

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