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Rewrite the integrand $x^2\left(4-x^2\right)^2$ in expanded form
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$\int\left(16x^2-8x^{4}+x^{6}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x^2(4-x^2)^2)dx. Rewrite the integrand x^2\left(4-x^2\right)^2 in expanded form. Expand the integral \int\left(16x^2-8x^{4}+x^{6}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int16x^2dx results in: \frac{16}{3}x^{3}. The integral \int-8x^{4}dx results in: -\frac{8}{5}x^{5}.