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$\int\left(\frac{1}{\sqrt[3]{x}}+\frac{-1}{x^3}+\frac{3}{\left(2x+1\right)^3}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 1/(x^1/3)+-1/(x^3)3/((2x+1)^3). Find the integral. Expand the integral \int\left(\frac{1}{\sqrt[3]{x}}+\frac{-1}{x^3}+\frac{3}{\left(2x+1\right)^3}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{\sqrt[3]{x}}dx results in: \frac{3}{2}\sqrt[3]{x^{2}}. The integral \int\frac{-1}{x^3}dx results in: \frac{-1}{-2x^{2}}.