Final Answer
$\frac{35}{2}$
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Step-by-step Solution
Problem to solve:
$\int_{\left(2\right)\left(-1\right)}^{3}\left(x+3\right)dx$
Specify the solving method
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
$\int_{-2}^{3} xdx+\int_{-2}^{3}3dx$
Learn how to solve definite integrals problems step by step online.
$\int_{-2}^{3} xdx+\int_{-2}^{3}3dx$
Learn how to solve definite integrals 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
$\frac{35}{2}$