Hi, I've attached an indefinite integral problem I thought I did correctly, but the answer turned out to be wrong. If anyone could point out my error I would greatly appreciate it! Thanks
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I would do it a different way...
Now make the substitution and also , then the integral becomes
Your first substitution is not correct, you just said: u=sqrt(1-x) and substitued without calculating correctly du in function of dx.
Solution with your substitution(s):
So the integral becomes:
Last edited by Siron; Jul 13th 2011 at 08:48 AM.
Write in the last integral put so the original integral equals
Originally Posted by Krizalid Write in the last integral put so the original integral equals I think you've made a mistake, if you let then , or ... I'm not sure how you can convert to ...
Try it again.
Originally Posted by Krizalid Try it again. Well I realise now that if and then ... Still don't see how you're going to use this substitution to your advantage...
You don't see it?
Originally Posted by Krizalid You don't see it? OK I see it now, thanks...
We coulda done the remaining integral by putting which gives an arctangent.
Originally Posted by Krizalid We coulda done the remaining integral by putting which gives an arctangent. Which I did...
But on my remaining integral it leads a direct integral, in your remaining integral you had to do a long division, so it's one less step.
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