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May 20th, 2013, 06:57 PM   #1
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What is the final solution and the way to solve the integral

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May 20th, 2013, 08:05 PM   #2
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Re: What is the final solution and the way to solve the inte

We are given:



Let:



and we have:



Now, continue substituting in the same way, and you should see a pattern develop...
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May 20th, 2013, 08:11 PM   #3
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Re: What is the final solution and the way to solve the inte

Thanks!
Is there any trick or shortcut?
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May 20th, 2013, 08:19 PM   #4
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Re: What is the final solution and the way to solve the inte

Once you see the pattern (which you can see even from the first substitution) you will know the result without having to go through then entire process...
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May 20th, 2013, 08:52 PM   #5
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Re: What is the final solution and the way to solve the inte

Sorry but I could not solve it. Could you please show the simplest way?
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May 20th, 2013, 09:08 PM   #6
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Re: What is the final solution and the way to solve the inte

Let's look first at:



Now, consider:



Let and we have:



Next, consider:



Let and we have:



Now we know from the previous integral we may write:



Do you see the pattern?
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