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October 9th, 2012, 02:34 PM   #1
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Really need help with these two integration problems.

Hello

I am really confused by these integrals.

I know that this one requires a u-substitution first.
u=tan(x)
You then must write everything in terms of tangent.
[attachment=3:2dyo6alo]gif.latex0001.gif[/attachment:2dyo6alo]

This requires integration by parts.
[attachment=2:2dyo6alo]gif.latex0000002.gif[/attachment:2dyo6alo]

To save you some time:
[attachment=1:2dyo6alo]gif.latexfsdfsdfsfs.gif[/attachment:2dyo6alo]
and
[attachment=0:2dyo6alo]gif.latexfsfsaaaaaaa.gif[/attachment:2dyo6alo]

Please help me!
Attached Images
File Type: gif gif.latex0001.gif (1.0 KB, 153 views)
File Type: gif gif.latex0000002.gif (1.3 KB, 152 views)
File Type: gif gif.latexfsdfsdfsfs.gif (1.1 KB, 152 views)
File Type: gif gif.latexfsfsaaaaaaa.gif (1.5 KB, 152 views)
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October 9th, 2012, 06:21 PM   #2
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Re: Really need help with these two integration problems.

1.
Let ,

then ,















Then substitute into something, I think you can figure it out.
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October 9th, 2012, 09:25 PM   #3
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Re: Really need help with these two integration problems.

Thank you thank you thank you!



Still stuck on the other problem. I know you do integration by parts but I can't get the solution.
I know it's a messy problem.
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October 9th, 2012, 09:34 PM   #4
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Re: Really need help with these two integration problems.

I love how you did a t-substitution there.
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October 9th, 2012, 10:31 PM   #5
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Re: Really need help with these two integration problems.

Quote:
Originally Posted by brh27
Thank you thank you thank you!



Still stuck on the other problem. I know you do integration by parts but i can't get the solution.
I know its a messy problem.
You are welcome!

Don't worry, your problems are really time-consuming. I'm working on it!
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October 9th, 2012, 11:10 PM   #6
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Re: Really need help with these two integration problems.

2.










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October 10th, 2012, 06:54 AM   #7
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Re: Really need help with these two integration problems.

Thanks so much again!
That must have taken a long time.
If I knew you in real life, I'd give you a cookie.
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October 10th, 2012, 05:31 PM   #8
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Re: Really need help with these two integration problems.

Quote:
Originally Posted by brh27
Thanks so much again!
That must have taken a long time.
If I knew you in real life, I'd give you a cookie.
Good idea, Thanks~
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