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# Help calculus

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There is the parabola $x^2.$ what is the area under the curve between 0 and 3?

Jun 16, 2022

#1
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$$\displaystyle \int_{0}^{3} x^2 dx = 3^2 - 0, \mathrm{which\space is} \ \textcolor{red}{9}$$, so the area under the curve from 0 to 3 is 9.

Jun 16, 2022
edited by hipie  Jun 16, 2022
edited by hipie  Jun 16, 2022
edited by hipie  Jun 16, 2022
#2
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Hi Hipie,

$$\displaystyle \int_{0}^{3} x^2 dx\\~\\ =\left[ \frac{x^3}{3} \right]_0^3=\frac{3^3}{3}-0=9u^2$$

Yes it is 9.

Jun 16, 2022