Найти площадь фигуры: 1) y=√x, y=0, x=2 2)y=e^x, y=0, x=. Created by DI3. algebra-ru

Найти площадь фигуры: 1) y=√x, y=0, x=2 2)y=e^x, y=0, x=...

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July 2022 1 8 Report

Найти площадь фигуры:
1) y=√x, y=0, x=2
2)y=e^x, y=0, x=

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NNNLLL54

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$1)\; \; \; y= \sqrt{x} \; ,\; \; y=0\; ,\; \; x=2\\\\S= \int\limits^2_0 \sqrt{x} \, dx= \frac{x^{\frac{3}{2}}}{\frac{3}{2}} \; \Big |_0^2= \frac{2}{3}\cdot \sqrt{x^3}\, \Big |_0^2= \frac{2}{3}\cdot (\sqrt{2^3}-0)= \frac{4\sqrt2}{3}$

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