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There was this question on integration that I am correct with the answers section of my textbook upto a point. So I will only ask this last step of evaluation.

This is what the book says - enter image description here

And this is how my simplication ended up in -

enter image description here

As you can see both the book and my first part is same but I get a different final answer than book. The book has 1/2 inside the bracket where I have 1. I just dont know how the book got 1/2 or what I am missing out. Can anyone help me figure it out? :)

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$$\left(\frac{1}{\sqrt{2}}\right)^{2n+1}=\left(\frac{1}{\sqrt{2}}\right)\left(\frac{1}{2}\right)^n\not=\left(\frac{1}{2}\right)\left(\frac{1}{2}\right)^n$$

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  • $\begingroup$ Omggggggg How silly I was :o I went through this several times but couldnt catch my mistake :o Thank you alot $\endgroup$
    – M.S.E
    Sep 13, 2014 at 5:52

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