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$\int_{0}^{1}\left(7\sqrt[3]{x^{4}}+\frac{1}{3}x^{-\frac{2}{3}}+\frac{6}{5}\sqrt[5]{x}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 7x^(4/3)+1/3x^(-2/3)6/5x^1/5 from 0 to 1. Simplifying. Expand the integral \int_{0}^{1}\left(7\sqrt[3]{x^{4}}+\frac{1}{3}x^{-\frac{2}{3}}+\frac{6}{5}\sqrt[5]{x}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1}7\sqrt[3]{x^{4}}dx results in: 3. The integral \int_{0}^{1}\frac{1}{3}x^{-\frac{2}{3}}dx results in: 1.