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Expand the integral $\int_{-1}^{1}\left(x-\arctan\left(x\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int_{-1}^{1} xdx+\int_{-1}^{1}-\arctan\left(x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x-arctan(x) from -1 to 1. Expand the integral \int_{-1}^{1}\left(x-\arctan\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-1}^{1} xdx results in: 0. The integral \int_{-1}^{1}-\arctan\left(x\right)dx results in: 0. Gather the results of all integrals.