Final Answer
Step-by-step Solution
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Divide $x^5-6x^3-6x^2-8$ by $x^3-6x$
Learn how to solve integral calculus problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}x^{3}-6x\phantom{;};}{\phantom{;}x^{2}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{;}x^{3}-6x\phantom{;}\overline{\smash{)}\phantom{;}x^{5}\phantom{-;x^n}-6x^{3}-6x^{2}\phantom{-;x^n}-8\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{3}-6x\phantom{;};}\underline{-x^{5}\phantom{-;x^n}+6x^{3}\phantom{-;x^n}\phantom{-;x^n}\phantom{-;x^n}}\\\phantom{-x^{5}+6x^{3};}-6x^{2}\phantom{-;x^n}-8\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^5-6x^3-6x^2+-8)/(x^3-6x) from 5 to 7. Divide x^5-6x^3-6x^2-8 by x^3-6x. Resulting polynomial. Expand the integral \int_{5}^{7}\left(x^{2}+\frac{-6x^{2}-8}{x^3-6x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{5}^{7} x^{2}dx results in: \frac{218}{3}.