Root mean square trouble.

Having trouble completing this problem.

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(2ex/2)2 = 4ex

Now finish it....
 
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Wondering if I finished correctly, also in my class examples we added the powers using indices rule then integrated is there times when you do this?
 

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Wondering if I finished correctly, also in my class examples we added the powers using indices rule then integrated is there times when you do this?

Doesn't look correct - check your work as you go from 3rd line to 4th line
 
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