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Take the constant $\frac{1}{3}$ out of the integral
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$\frac{1}{3}\int\frac{2}{\sqrt{x}}dx$
Learn how to solve equations problems step by step online. Find the integral int(2/(3x^1/2))dx. Take the constant \frac{1}{3} out of the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (2) is equal to the constant times the integral of the function. 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}.