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Expand the integral $\int_{2}^{3}\left(x^2+6x+2\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int_{2}^{3} x^2dx+\int_{2}^{3}6xdx+\int_{2}^{3}2dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2+6x+2 from 2 to 3. Expand the integral \int_{2}^{3}\left(x^2+6x+2\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{2}^{3} x^2dx results in: \frac{19}{3}. The integral \int_{2}^{3}6xdx results in: 15. The integral \int_{2}^{3}2dx results in: 2.