Evaluate  

To solve the given definite integral \(\int (7x-2)\sqrt{3x+2} \,dx\), you can use basic integration techniques. Let's break down the solution step by step:

1. Distribute the terms:
   \[\int (7x-2)\sqrt{3x+2} \,dx = ____ ______ _____ __________ ________ __________ _________ _____ ____ _______ ____ ____.
______ _________ __________ ______ ___.
________ _______ _________ __________ _________ ______ ______ ________ _____ ________ _____.
_________ __________ ______ _____ __________ _______ ________ ______ ______.
_____ _____ ______ _________ _____.
____ _______ ______ _____ ____ ___ ____ ____ _________ ______.
________ __________ ________ _____ ___ ____ _____ ____.
___ _______ ______ ________ __________ ____ ______.
___ ____ _______ ___ _________ ____ __________ _________ ___ _________ _____ _____.
_________ __________ _________ _______ ______ __________ ____.
_________ _________ ___ ________ _____ _______ _____ ____ ________ _________.
________ ____ ________ _____ _________ ____ _________ _______ __________ _____ ____ ______.
_______ __________ ____ __________ _______ ________.
_________ _____ _____ _____ _______ _______ _____ __________ _________ ____ __________ ______.
___ ____ _______ _______ __________ _________ _________.
____ ____ ________ _______ ________ ___ __________.
__________ __________ __________ ___ _________ __________ ____ __________ __________ ___ ______ _________.
_________ ____ _________ _____ __________ ___ ____ __________.
_________ ______ __________ ____ _________ _____.
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