Final answer to the problem
$-\frac{4}{3}$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Expand the integral $\int_{-1}^{1}\left(x^2-1\right)dx$ 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.
$\int_{-1}^{1} x^2dx+\int_{-1}^{1}-1dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function x^2-1 from -1 to 1. Expand the integral \int_{-1}^{1}\left(x^2-1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-1}^{1} x^2dx results in: \frac{1}{3}+\frac{1}{3}. Gather the results of all integrals. Combine fractions with common denominator 3.
Final answer to the problem
$-\frac{4}{3}$
Exact Numeric Answer
$-1.333333$
