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

Can someone please explain me how to do this integral?

3 answers

Go to:

wolfram alpha dot com

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

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Show steps
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
Int=1/5(sin(t)-t*COS(t))+C