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Expand the integral $\int\left(\left(2x^5-x^2\right)^2+x^{-\frac{1}{2}}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int\left(2x^5-x^2\right)^2dx+\int x^{-\frac{1}{2}}dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int((2x^5-x^2)^2+x^(-1/2))dx. Expand the integral \int\left(\left(2x^5-x^2\right)^2+x^{-\frac{1}{2}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(2x^5-x^2\right)^2dx results in: \frac{4}{11}x^{11}-\frac{1}{2}x^{8}+\frac{x^{5}}{5}. Gather the results of all integrals. The integral \int x^{-\frac{1}{2}}dx results in: 2\sqrt{x}.