10. Evaluate the indefinite integral. $$ \int \frac{2x + 5}{\sqrt{9 - 4x^2}} dx $$
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Step 1: The problem asks us to evaluate the indefinite integral: $$ I = \int \frac{2x + 5}{\sqrt{9 - 4x^2}} dx $$ We can split this integral into two separate integrals: $$ I = \int \frac{2x}{\sqrt{9 - 4x^2}} dx + \int \frac{5}{\sqrt{9 - 4x^2}} dx $$ Let's evaluate Show more…
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