Final Answer
$-\frac{32}{3}$
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Step-by-step Solution
Specify the solving method
1
Expand the integral $\int_{-3}^{1}\left(x^2+5x\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{-3}^{1} x^2dx+\int_{-3}^{1}5xdx$
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$\int_{-3}^{1} x^2dx+\int_{-3}^{1}5xdx$
Learn how to solve integrals of rational functions problems step by step online. Integrate the function x^2+5x from -3 to 1. Expand the integral \int_{-3}^{1}\left(x^2+5x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-3}^{1} x^2dx results in: \frac{28}{3}. The integral \int_{-3}^{1}5xdx results in: -20. Gather the results of all integrals.
Final Answer
$-\frac{32}{3}$
Exact Numeric Answer
$-10.6667$