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1. Please help! In = integral x^n/sq root(1+x squared) dx

Have tried u= above and v'=1 etc but get stuck with an extra 1/(1 + xsq)
any hints?
2. (Original post by estrella18)
Please help! In = integral x^n/sq root(1+x squared) dx

Have tried u= above and v'=1 etc but get stuck with an extra 1/(1 + xsq)
any hints?
I would start off with a substitution of . Then try rewriting the integrand slightly before integrating by parts.
3. I'd split it thus:

And now IBP with , and v' = "the rest of it"
4. (Original post by estrella18)
Please help! In = integral x^n/sq root(1+x squared) dx

Have tried u= above and v'=1 etc but get stuck with an extra 1/(1 + xsq)
any hints?
I'd take and v' = x/sqrt(1+x^2).

One thing worth remembering is that you don't *have* to find a formula relating to . If you get a formula relating to , you can always replace n by n-1 throughout.
5. Thank you all

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