Can somebody help me in telling me how to solve the following integral?

$\displaystyle \int\limits_0^a \frac{1}{(x^2+z^2)^\frac{3}{2}}dx$

I'm quite at a loss...

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- Apr 15th 2009, 08:55 AMWaldheriDefinite integral help please!
Can somebody help me in telling me how to solve the following integral?

$\displaystyle \int\limits_0^a \frac{1}{(x^2+z^2)^\frac{3}{2}}dx$

I'm quite at a loss... - Apr 15th 2009, 09:12 AMCalculus26
Use the trig sub:

Let x = ztan(t)

dx = z sec^2(t)dt

You'll get a simple integral of cos(t)