Final answer to the problem
$-\frac{958}{3}$
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Step-by-step Solution
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- Integrate by partial fractions
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1
Expand the integral $\int_{0}^{2}\left(-161+x^2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int_{0}^{2}-161dx+\int_{0}^{2} x^2dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function -161+x^2 from 0 to 2. Expand the integral \int_{0}^{2}\left(-161+x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2}-161dx results in: -322. The integral \int_{0}^{2} x^2dx results in: \frac{8}{3}. Gather the results of all integrals.
Final answer to the problem
$-\frac{958}{3}$
Exact Numeric Answer
$-319.333333$
