Posted by **Heather** on Wednesday, October 10, 2012 at 9:08pm.

find the integral of x/(x^2+4)dx using trigonometric substitution.

- Calculus 2 -
**Reiny**, Wednesday, October 10, 2012 at 9:35pm
I don't understand why you were instructed to use trig substitution for this question, it is straightforward

You should recognize certain pattern of derivatives and integrals

Notice that the derivative of the denominator is 2x and we have x at the top, so this follows the pattern of log derivatives directly

If we had ∫2x/(x^2 + 4) dx it would simply be ln(x^2 + 4) + c

so for

∫ x/(x^2+4) dx we would get ** (1/2) ln(x^2 + 4) + c**

- Calculus 2 -
**Heather**, Wednesday, October 10, 2012 at 9:40pm
we are supossed to do it both ways. i got it using the u-substitution method. we are supossed to show that the answers are equivalent.

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