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Rewrite the integrand $\left(2x^2+1\right)^3$ in expanded form
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$\int\left(8x^{6}+12x^{4}+6x^2+1\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int((2x^2+1)^3)dx. Rewrite the integrand \left(2x^2+1\right)^3 in expanded form. Expand the integral \int\left(8x^{6}+12x^{4}+6x^2+1\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int8x^{6}dx results in: \frac{8}{7}x^{7}. The integral \int12x^{4}dx results in: \frac{12}{5}x^{5}.