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Evaluate: (i) int1/(x\ sqrt(x^4-1))\ dx ...

Evaluate: (i) `int1/(x\ sqrt(x^4-1))\ dx` (ii) `intsqrt(e^x-1)\ dx`

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Let's solve the integrals step by step. ### (i) Evaluate the integral \( \int \frac{1}{x \sqrt{x^4 - 1}} \, dx \) **Step 1: Substitution** We will use the substitution \( x^2 = \sec \theta \). Therefore, \( dx = \frac{1}{2\sqrt{\sec \theta}} \sec \theta \tan \theta \, d\theta \). **Step 2: Transform the integral** ...
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