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Integration by Substitution.

  • Thread starter ibysaiyan
  • Start date
  • #1
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Homework Statement


Question is:Integrate x(2x+1)^8 dx in terms of x.


Homework Equations





The Attempt at a Solution


Here is how i started off:by relabeling them.
let u = 2x+1. du/dx = 2.
dx=du/2.

Also x=u-1/2.
So my terms now are: Integral (u-1/2)u^8 (du/2) <- this is where i am slightly confused i know i need to take out common term and just do i simple integration :/ can anyone hint me.
Thanks
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
Now just multiply it out to get simple power terms.
 

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