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Find the following integrals :(i) int(d...

Find the following integrals :(i) `int(dx)/(x^2-6x+13)` (ii) `int(dx)/(3x^2+13 x-10)` (iii) `int(dx)/(sqrt(5x^2-2x))`

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To solve the given integrals step by step, we will apply the method of completing the square and use standard integral formulas. ### (i) Integral: \(\int \frac{dx}{x^2 - 6x + 13}\) **Step 1: Completing the square** We start by rewriting the quadratic expression in the denominator: \[ x^2 - 6x + 13 = (x - 3)^2 + 4 ...
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