Concept:Some important formulas are:\(\rm \int e^{ax} = \frac {e^{ax}}{a} + c\)\(\rm \int a\times dx= ax+c\) , where a and c are constant.Calculation:Given, \(\rm \int (2e^{5x} + 3)dx\) which can be evaluated as= \(\rm 2\int e^{5x}dx + 3\int dx\)= \(\rm 2 \times \frac{e^{5x}}{5} + 3x +C\) , where C is a constant.= \(\rm \frac{2}{5}e^{5x} +3x +C\)