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`

Explanation

To evaluate the integral \( \int \frac{8x + 13}{\sqrt{4x + 7}} \, dx \), we can follow these steps:

### Step 1: Rewrite the Integral
We can rewrite the integrand by separating the terms:
\[ \int \frac{8x + 13}{\sqrt{4x + 7}} \, dx = \int \frac{8x + 14 - 1}{\sqrt{4x + 7}} \, dx = \int \frac{8x + 14}{\sqrt{4x + 7}} \, dx - \int \frac{1}{\sqrt{4x + 7}} \, dx \]

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