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Evaluate: int1/(sqrt(x^2+a^2))\ dx...

Evaluate: `int1/(sqrt(x^2+a^2))\ dx`

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To evaluate the integral \( I = \int \frac{1}{\sqrt{x^2 + a^2}} \, dx \), we will use a trigonometric substitution. Here’s the step-by-step solution: ### Step 1: Trigonometric Substitution Let \( x = a \tan(\theta) \). Then, the differential \( dx \) can be expressed as: \[ dx = a \sec^2(\theta) \, d\theta \] ...
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