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Expand the integral $\int\left(\left(3x+5\right)^3-27x^3\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int\left(3x+5\right)^3dx+\int-27x^3dx$
Learn how to solve trigonometric integrals problems step by step online. Integrate int((3x+5)^3-27x^3)dx. Expand the integral \int\left(\left(3x+5\right)^3-27x^3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(3x+5\right)^3dx results in: \frac{1}{12}\left(3x+5\right)^{4}. The integral \int-27x^3dx results in: -\frac{27}{4}x^{4}. Gather the results of all integrals.