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Calculate the power $\pi ^2$
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$\pi^{2}\int_{0}^{2} x^3\left(3-x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x^3(3-x))dx&0&2pi^2. Calculate the power \pi ^2. Rewrite the integrand x^3\left(3-x\right) in expanded form. Expand the integral \int_{0}^{2}\left(3x^3-x^{4}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product \pi^{2}\left(\int_{0}^{2}3x^3dx+\int_{0}^{2}-x^{4}dx\right).