6.1 Areas Between Curves/11: Difference between revisions
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[[File:Angel's.png | [[File: Angel's.png]] | ||
<br><br><math> | |||
y=x^{2} \qquad y=\sqrt{x}</math> | |||
<br><br> | |||
<math> | |||
\int_{0}^{1}(\sqrt{x}-x^{2})=[\frac{2}{3}x^{\frac{3}{2}}-\frac{x^{3}}{3}] | |||
</math> | |||
<br><br> | |||
<math> | |||
=\frac{2}{3}(1)^{\frac{3}{2}}-\frac{(1)^{3}}{3}=\frac{1}{3} | |||
</math> | |||
![{\displaystyle \int _{0}^{1}({\sqrt {x}}-x^{2})=[{\frac {2}{3}}x^{\frac {3}{2}}-{\frac {x^{3}}{3}}]}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/e4827f82848bdfcacb5d71146514f17cd74d9b8f)
