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Expand the integral $\int\left(36-\left(6-4x+x^2\right)^2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int36dx+\int-\left(6-4x+x^2\right)^2dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(36-(6-4xx^2)^2)dx. Expand the integral \int\left(36-\left(6-4x+x^2\right)^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int36dx results in: 36x. The integral \int-\left(6-4x+x^2\right)^2dx results in: -36x+24x^2-\frac{28}{3}x^{3}+2x^{4}+\frac{-x^{5}}{5}. Gather the results of all integrals.