Mathematics, 06.01.2020 14:31 juanitarodrigue
What is the surface area using integrals of these two lines. y=10-x^2 and y=x^2+2 from the bounds x=2 and x=-2.
Answers: 2
![\bf \displaystyle\int\limits_{-2}^{2}~[\stackrel{\textit{above function}}{(10-x^2)}~~-~~\stackrel{\textit{below function}}{(x^2+2)}]dx\implies \int\limits_{-2}^{2}~(10-x^2-x^2-2)dx \\\\\\ \displaystyle\int\limits_{-2}^{2}~(8-2x^2)dx\implies \left. 8x\cfrac{}{} \right]_{-2}^{2}-\left. \cfrac{2x^3}{3} \right]_{-2}^{2} \\\\\\ ([16]-[-16])~~-~~\left( \left[ \cfrac{16}{3} \right]-\left[ -\cfrac{16}{3} \right]\right)\implies (32)~~-~~\left( \cfrac{32}{3} \right) \\\\\\ \cfrac{64}{3}\implies 21\frac{1}{3}](/tpl/images/0444/1857/3e2e0.png)
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What is the surface area using integrals of these two lines. y=10-x^2 and y=x^2+2 from the bounds x=...
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