Answer
$\int_{1}^{3}e^{x+2}~dx = e^5-e^3$
Work Step by Step
We can evaluate the integral using properties of integrals:
$\int_{1}^{3}e^{x+2}~dx$
$= \int_{1}^{3}e^x\cdot e^2~dx$
$= e^2\int_{1}^{3}e^x~dx$
$= e^2(e^3-e)$
$= e^5-e^3$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.