Math
posted by Dave
Evaluate the integral of x*(2x+5)^8*dx
I let u=2x+5 and du=2*dx, but then where do I go from there because I can't get rid of the x in order to integrate?

Steve
Let u = 2x+5
du = 2 dx
x = (u5)/2
∫x(2x+5)^8 dx
= ∫(u5)/2 * u^8 * du/2
= 1/4 ∫(u5)u^8 du
= 1/4 ∫u^9  5u^8 du
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