Word Count : 252

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We need to evaluate the integral: \[ I = \int (7x - 2) \sqrt{3x + 2} \, dx \] ### Step 1: Use Substitution Let: \[ u = 3x + 2 \] Then, differentiate both sides: \[ \frac{du}{dx} = 3 \quad \Rightarrow \quad dx = \frac{du}{3} \] Also, express \(x\) in terms of \(u\): \[ x = \frac{u - 2}{3} \] Substituting these _____ _______ _______ _____ ___ _____ __________ ______.
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