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$\int x^{-\frac{1}{2}}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x^(-1/2))dx. 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}{2}. Divide 1 by \frac{1}{2}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.