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Expand the integral $\int\left(x^4-x^3+7x^2+x+\frac{15}{x^2}+2\right)dx$ into $6$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int x^4dx+\int-x^3dx+\int7x^2dx+\int xdx+\int\frac{15}{x^2}dx+\int2dx$
Learn how to solve problems step by step online. Integrate int(x^4-x^37x^2x15/(x^2)+2)dx. Expand the integral \int\left(x^4-x^3+7x^2+x+\frac{15}{x^2}+2\right)dx into 6 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^4dx results in: \frac{x^{5}}{5}. The integral \int-x^3dx results in: \frac{-x^{4}}{4}. The integral \int7x^2dx results in: \frac{7}{3}x^{3}.