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$\int\frac{x^3+27}{x+3}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^3+27)/(x+3). Find the integral. Rewrite the expression \frac{x^3+27}{x+3} inside the integral in factored form. Expand the integral \int\left(\left(x-\frac{3}{2}\right)^2+\frac{27}{4}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(x-\frac{3}{2}\right)^2dx results in: \frac{\left(x-\frac{3}{2}\right)^{3}}{3}.