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Old 09-04-2007   #1
alternet87
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Default Integration... I need answers quick

Hi, I have a test tomorrow and I need to be able to Evaluate these integrals step by step.

1.

2.

3.

4.

5.

6.

7.

8.

thanks a lot, if you want you can email me the work and answers to alternet87@hotmail.com

Last edited by Sillysidley; 09-04-2007 at 04:06 PM..
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Old 09-04-2007   #2
Temperal
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First: Are you a robot? If not, I'll help you.
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Old 09-05-2007   #3
alternet87
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no I am not a robot. thanks. I might just pay someone to do these because I need to have them done soon, and I have no idea how. if you can do it before I pay someone that would be AWESOME !!!!! thanks
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Old 09-05-2007   #4
alternet87
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If someone finishes the first set of problems for me, here are just a couple more questions that aren't AS important, but would be nice too.

1.) Consider the function
a.) Compute the derivative using the Second Fundamental Theorem of Calculus.
b.) Find F(0) and justify your answer showing work

2.) Suppose that Find F(x).
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Old 09-05-2007   #5
Temperal
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I'll try one of the easy ones for warmup; I'll do the rest, if I can, later.

8) This is quite easy. You just break it into sections, and use the product rule.



So, first work with

Is equal to

as every good calc student knows. (Well, plus a constant, but we'll just stick that in at the end)
now, is equal to


Now apply the product rule


I'll leave you to solve.

Last edited by Temperal; 09-05-2007 at 08:33 PM..
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Old 09-05-2007   #6
alternet87
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i thought the product rule was only when finding the derivative, I need to find the anti-derivative. Maybe I am wrong but isn't the derivative of

The only thing I do know is that most of these problems can be solved by using Integration my substitution and Integration by Parts. I just don't know how to do it
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Old 09-05-2007   #7
Temperal
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The same rule applies to integration. And yeah, oops, I'll fix that.
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