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$\int-\frac{1}{3}\left(\frac{x^2}{2}-\frac{1}{2}\ln\left(1+x^2\right)\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of -1/3((x^2)/2-1/2ln(1+x^2)). Find the integral. The integral of a function times a constant (-\frac{1}{3}) is equal to the constant times the integral of the function. Expand the integral \int\left(\frac{x^2}{2}-\frac{1}{2}\ln\left(1+x^2\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral -\frac{1}{3}\int\frac{x^2}{2}dx results in: -\frac{1}{18}x^{3}.