Final answer to the problem
$\frac{35}{2}$
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1
Expand the integral $\int_{-2}^{3}\left(x+3\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{-2}^{3} xdx+\int_{-2}^{3}3dx$
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$\int_{-2}^{3} xdx+\int_{-2}^{3}3dx$
Learn how to solve problems step by step online. Integrate the function x+3 from -2 to 3. Expand the integral \int_{-2}^{3}\left(x+3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-2}^{3} xdx results in: \frac{5}{2}. The integral \int_{-2}^{3}3dx results in: 15. Gather the results of all integrals.
Final answer to the problem
$\frac{35}{2}$
Exact Numeric Answer
$17.5$
