Int(x/sqr(x^2+4x+8))dx

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- March 8th 2009, 06:42 PMHMVCalculus Integral
Int(x/sqr(x^2+4x+8))dx

- March 8th 2009, 06:50 PMChris L T521
- March 8th 2009, 07:13 PMHMV
Is int (secx) the right answer?

- March 8th 2009, 07:30 PMChris L T521
- March 8th 2009, 07:39 PMHMV
I can certainly work the integral from there. Would you mind explainimg how you got to that simplyfied form of the integral?

- March 8th 2009, 07:55 PMChris L T521
- March 8th 2009, 08:12 PMmadmartigano
Here's an alternate way of solving this problem. It might be easier or harder for you, depending on what you're used to.

Setup the integral as

Let , since

so and

remember that , so

use the identity to show:

and we have our answer: