Calculus

int x^9*(sin(x^5))

Can someone please explain me how to do this integral?

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  1. Go to:

    wolfram alpha dot com

    When page be open in rectangle type:

    integrate x^9*(sin(x^5))

    and click option =

    When you see result click option:

    Show steps

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  2. t=x^5, dt=5x^4dx

    x^9*sin(x^5)dx=x^5*sin(x^5)*x^4*dx=
    t*sin(t)*(1/5)dt
    Int=1/5(sin(t)-t*sin(t))+C, t=x^5

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  3. Int=1/5(sin(t)-t*COS(t))+C

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