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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?

  • Math -

    Let u = 2x+5
    du = 2 dx
    x = (u-5)/2

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

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