Evaluate : ∫x ²√5x − 3dx

To evaluate the integral \(\int x \sqrt{5x} - 3 \, dx\), we can break it down into two separate integrals and then solve each of them step by step.

1. \(\int x \sqrt{5x} \, dx\):
   Let's start with this integral. We can use substitution to simplify it. Let \(u _______ _________ _________ ___ ____ ________ __________ ________ __________ _______.
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