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$\int_{0}^{1} x^{-\frac{1}{3}}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^(-1/3) from 0 to 1. Simplifying. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -\frac{1}{3}. Evaluate the definite integral. Simplify the expression inside the integral.