Find the area under the graph of the function over the interval given. \( f(\mathrm{x})=e^{\mathrm{x}} ;[-3,5] \) The area is \( \square \). (Type an exact answer in terms of \( e \).)

Calculate the integral \( \int_{-3}^{5} e^x dx \). Evaluate the integral by following steps: - step0: Evaluate using formulas and rules: \(\int_{-3}^{5} e^{x} dx\) - step1: Evaluate the integral: \(\int e^{x} dx\) - step2: Evaluate the integral: \(e^{x}\) - step3: Return the limits: \(\left(e^{x}\right)\bigg |_{-3}^{5}\) - step4: Calculate the value: \(\frac{e^{8}-1}{e^{3}}\) The area under the graph of the function \( f(x) = e^x \) over the interval \([-3, 5]\) is \( \frac{e^{8}-1}{e^{3}} \).