QuestionFind the indefinite integral. (Use $C$ for the constant of integration. Remember to use absolute values where appropriate.) $$\int\left(\sqrt{x}+\frac{4}{x}-5 e^{x}\right) d x$$

Studdy Solution
Combine the results of the integrals and add the constant of integration $C$:
$\int \left(\sqrt{x} + \frac{4}{x} - 5e^x\right) \, dx = \frac{2}{3}x^{3/2} + 4\ln|x| - 5e^x + C$
The indefinite integral is:
$\boxed{\frac{2}{3}x^{3/2} + 4\ln|x| - 5e^x + C}$