Trig Integration with Even Powers

Kaitlyn25

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Joined
Sep 17, 2013
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I got pretty far into this problem before I think I had an issue. My only question is, what happens to the inside function (the 2x) if I use the last two integral formulas to complete my integration? I saw someone else complete this problem after I initially got stuck but they used the last two integral formulas in their integration as if the 2x never existed (they ignored it entirely) so their answer didn't match mine.

CodeCogsEqn(3).gif

CodeCogsEqn(4).gif

CodeCogsEqn(5).gif

I'm sorry the picture showing my work came out on two lines (and I also didn't show the middle steps from the start of the problem until where I got stuck only because I haven't learned Latex yet so I kept it short), I'm still working on learning how to use Latex here. Thanks in advance for the help, I really appreciate it.
 
I got pretty far into this problem before I think I had an issue. My only question is, what happens to the inside function (the 2x) if I use the last two integral formulas to complete my integration? I saw someone else complete this problem after I initially got stuck but they used the last two integral formulas in their integration as if the 2x never existed (they ignored it entirely) so their answer didn't match mine.

View attachment 3253

View attachment 3254

View attachment 3255

I'm sorry the picture showing my work came out on two lines (and I also didn't show the middle steps from the start of the problem until where I got stuck only because I haven't learned Latex yet so I kept it short), I'm still working on learning how to use Latex here. Thanks in advance for the help, I really appreciate it.

Please look at:

http://www.freemathhelp.com/forum/threads/83487-trig-integration
 
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