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Integration by substitution help!!

Ok so how do I integrate by substitution the following equation...

Thanks in advance guys.
Reply 1
Original post by creagle92
Ok so how do I integrate by substitution the following equation...

Thanks in advance guys.


u = x - 1
Personally I would integration by parts with u=(x^2+2) and dv=(x+1)^7, you would have to do it three times to get the answer


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Reply 3
but the question asks specifically to do it by substitution, I don't know what to do
Original post by creagle92
but the question asks specifically to do it by substitution, I don't know what to do


Do a substitution and then substitute it

So if you substitute u = x - 1 then du/dx = 1, x^2 + 2 = u^2 + 2x + 1 = u^2 + 2u + 3 then integrate it

If there's a mistake there, correct it. I'm tired :tongue:
Reply 5
ok thanks, so before replacing u with x-1, is the answer u^10/10 + 2u^9/9 + 3u^8/8 + c?
Original post by creagle92
Ok so how do I integrate by substitution the following equation...

Thanks in advance guys.


Im on my phone so i cant see the question, pm me it and i might be able to help.

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