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$\int\left(\frac{1}{3}x-x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of 1/3x-x. Find the integral. Combining like terms \frac{1}{3}x and -x. The integral of a function times a constant (-\frac{2}{3}) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1.