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$\int\left(\frac{2}{5}x^5-\frac{6}{5}x^4+\frac{14}{15}x^2\right)dx$
Learn how to solve integral calculus problems step by step online. Factor the expression 2/5x^5+-6/5x^414/15x^2. Find the integral. Simplifying. Expand the integral \int\left(\frac{2}{5}x^5-\frac{6}{5}x^4+\frac{14}{15}x^2\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{2}{5}x^5dx results in: \frac{1}{15}x^{6}.