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Expand the integral $\int_{-\frac{19}{10}}^{\frac{19}{10}}\left(\sin\left(x\right)^2-\left(\frac{1}{2}x\right)^2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int_{-\frac{19}{10}}^{\frac{19}{10}}\sin\left(x\right)^2dx+\int_{-\frac{19}{10}}^{\frac{19}{10}}-\left(\frac{1}{2}x\right)^2dx$
Learn how to solve integrals of rational functions problems step by step online. Integrate the function sin(x)^2-(1/2x)^2 from -19/10 to 19/10. Expand the integral \int_{-\frac{19}{10}}^{\frac{19}{10}}\left(\sin\left(x\right)^2-\left(\frac{1}{2}x\right)^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-\frac{19}{10}}^{\frac{19}{10}}\sin\left(x\right)^2dx results in: 2.205929. The integral \int_{-\frac{19}{10}}^{\frac{19}{10}}-\left(\frac{1}{2}x\right)^2dx results in: -1.1431667. Gather the results of all integrals.