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Evaluate int ((8x+13)/sqrt(4x+7)) dx...

Evaluate `int ((8x+13)/sqrt(4x+7)) dx`

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To evaluate the integral \( \int \frac{8x + 13}{\sqrt{4x + 7}} \, dx \), we can follow these steps: ### Step 1: Rewrite the Integral We start by rewriting the integrand: \[ \int \frac{8x + 13}{\sqrt{4x + 7}} \, dx = \int \frac{(8x + 14) - 1}{\sqrt{4x + 7}} \, dx \] This allows us to separate the integral into two parts: ...
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