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$\int\left(\frac{2}{3}+x\right)\left(\frac{1}{3}-x\right)dx$
Learn how to solve problems step by step online. Find the integral of (2/3+x)(1/3-x). Find the integral. Rewrite the integrand \left(\frac{2}{3}+x\right)\left(\frac{1}{3}-x\right) in expanded form. Expand the integral \int\left(\frac{2}{9}-\frac{1}{3}x-x^2\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{9}dx results in: \frac{2}{9}x.