Posted by **Erica** on Tuesday, October 18, 2011 at 9:08pm.

Use either substitution or integration by parts to evaluate the integral:

∫(x+2)/(x²+2) dx

Thank you!!

- Calculus -
**Steve**, Wednesday, October 19, 2011 at 5:44am
If x = √2 tan t,

x^{2} = 2tan^{2}t

x^{2} + 2 = 2sec^{2}t

dx = √2 sec^{2}t

and the integrand becomes

(√2 tan t + 2)/(2sec^{2}t) * √2 sec^{2}t

= (√2 tan t + 2)/√2 = tan t + √2

Play around with that, remembering that d(cost) = -sint

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