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$\int\left(x^3-\frac{5}{9}b^3\right)^2dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^3-5/9b^3)^2. Find the integral. Expand \left(x^3-\frac{5}{9}b^3\right)^2. Expand the integral \int\left(x^{6}-\frac{10}{9}x^3b^3+\left(-\frac{5}{9}b^3\right)^2\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{6}dx results in: \frac{x^{7}}{7}.