Calculus
posted by Erica on .
Use either substitution or integration by parts to evaluate the integral:
∫(x+2)/(x²+2) dx
Thank you!!

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