Final Answer
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Rewrite the integrand $\left(2x+1\right)\left(3-x\right)$ in expanded form
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$\int_{-1}^{1}\left(5x-2x^2+3\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (2x+1)(3-x) from -1 to 1. Rewrite the integrand \left(2x+1\right)\left(3-x\right) in expanded form. Expand the integral \int_{-1}^{1}\left(5x-2x^2+3\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-1}^{1}5xdx results in: 0. The integral \int_{-1}^{1}-2x^2dx results in: -\frac{4}{3}.