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April 18, 2014

April 18, 2014

Posted by **Jules** on Tuesday, April 26, 2011 at 1:12pm.

Find the indefinite integral.

x/3x^2+4 dx =

Simplify the answer. Use C as the arbitrary constant.

- Math -
**MathMate**, Tuesday, April 26, 2011 at 2:22pmRequired:

I=∫xdx/√(x²+4)

Try u=x²+4, du=2xdx, xdx = du/2

I=∫ (1/2)du/√(u)

Use the power rule for u^(-1/2)

I=u^(1/2)+C

=√(x²+4) + C

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