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Evaluate: int1/((a^2-x^2)^(3/2))dx...

Evaluate: `int1/((a^2-x^2)^(3/2))dx`

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To evaluate the integral \( \int \frac{1}{(a^2 - x^2)^{3/2}} \, dx \), we can use a trigonometric substitution. Here’s a step-by-step solution: ### Step 1: Trigonometric Substitution Let \( x = a \sin \theta \). Then, we have: \[ dx = a \cos \theta \, d\theta \] Also, we can express \( a^2 - x^2 \) in terms of \( \theta \): ...
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