Answer
7
Work Step by Step
\[\begin{gathered}
\int_0^{\ln 8} {{e^x}} dx \hfill \\
\hfill \\
{\text{using }}\int {{e^x}} dx = {e^x} + C \hfill \\
\hfill \\
\int_0^{\ln 8} {{e^x}} dx = \left[ {{e^x}} \right]_0^{\ln 8} \hfill \\
\hfill \\
{\text{Use the fundamental theorem of calculus}} \hfill \\
\hfill \\
\left[ {{e^x}} \right]_0^{\ln 8} = {e^{\ln 8}} - {e^0} \hfill \\
\hfill \\
{\text{Simplify}} \hfill \\
\hfill \\
8 - 1 \hfill \\
\hfill \\
7 \hfill \\
\end{gathered} \]
