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

Evaluate `int ((8x+13)/sqrt(4x+7)) dx` (A) `1/3 (4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c` (B) `1/6 (4x+7)^(5/2) - 2/3 (4x+7)^(3/2) + c` (C) `1/3 (4x+7)^(5/2) - 1/2 (4x+7)^(3/2) + c` (D) `(4x+7)^(3/2) - 1/2 (4x+7)^(1/2) + c`

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AI Generated Solution

To evaluate the integral \( \int \frac{8x + 13}{\sqrt{4x + 7}} \, dx \), we can break it down into simpler parts. ### Step 1: Split the Integral We can split the integral into two separate integrals: \[ \int \frac{8x + 13}{\sqrt{4x + 7}} \, dx = \int \frac{8x}{\sqrt{4x + 7}} \, dx + \int \frac{13}{\sqrt{4x + 7}} \, dx \] ...
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