Evaluate the given indefinite integral

f(5/3+5x)dx

Dear Student,
Your question is not clear and appears to be incomplete.
Assuming that you want to find the following integral:
$\int \left(\frac{5}{3}+5x\right)dx$
the solution is as follows:
$$\begin{gathered} \int \left(\frac{5}{3}+5x\right)dx=\int \left(\frac{5}{3}\right)dx+\int \left(5x\right)dx \\ =\frac{5x}{3}+\frac{5x^2}{2}+C \end{gathered}$$

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