Word Count : 301

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Alright — let's solve the indefinite integral step-by-step: \[ \int (7x - 2) \sqrt{3x + 2} \, dx \] --- ### 1. Substitution Let \( t = 3x + 2 \). Then \( dt = 3 \, dx \) so \( dx = \frac{dt}{3} \). Also from \( t = 3x + 2 \), we have \( x = \frac{t _______ _______ __________ ___ ___ _______ __________ _______ ____ _________ ________ ________.
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