Solve $\int \sqrt{x} (3 - 5 x) d x$

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Solution

$\int 3 \sqrt{x} - 5 x^{\frac{3}{2}} . d x$

$\Rightarrow 3 \frac{x^{\frac{3}{2}}}{3 / 2} - 5 \frac{x^{5 / 2}}{5 / 2}$

$\Rightarrow 2 x^{3 / 2} - 2 x^{5 / 2}$

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