Exercise
$\int_0^3\left(e^t+te^t\right)dt$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function e^t+te^t from 0 to 3. Expand the integral \int_{0}^{3}\left(e^t+te^t\right)dt into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{3} e^tdt results in: e^3-1. Gather the results of all integrals. The integral \int_{0}^{3} te^tdt results in: 2e^{3}+1.
Integrate the function e^t+te^t from 0 to 3
Final answer to the exercise
$e^3+2e^{3}$
Exact Numeric Answer
$60.256611$