QuestionFind $\int\left(-2 x^{4}+\frac{2}{x}-\frac{6}{x^{5}}+5 \sqrt{x}\right) d x$ $$+C$$

Studdy Solution
Combine the results of the integrations and add the constant of integration $C$:
$-\frac{2}{5}x^5 + 2 \ln |x| + \frac{3}{2}x^{-4} + \frac{10}{3}x^{3/2} + C$
The integral of the function is:
$\boxed{-\frac{2}{5}x^5 + 2 \ln |x| + \frac{3}{2}x^{-4} + \frac{10}{3}x^{3/2} + C}$