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We can solve the integral $\int\sqrt[3]{x^2}\left(\frac{1}{x^2}+\sqrt{x}+\frac{-1}{\sqrt[4]{x}}\right)dx$ by applying integration by parts method to calculate the integral of the product of two functions, using the following formula
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$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$
Learn how to solve problems step by step online. Integrate int(x^2^1/3(1/(x^2)+x^1/2-1/(x^1/4)))dx. We can solve the integral \int\sqrt[3]{x^2}\left(\frac{1}{x^2}+\sqrt{x}+\frac{-1}{\sqrt[4]{x}}\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v. Solve the integral.