FANDOM


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\(y=a^\frac{1}{5}+x^\frac{1}{5}-2a^\frac{1}{10}x^\frac{1}{10}\)
 
\(y=a^\frac{1}{5}+x^\frac{1}{5}-2a^\frac{1}{10}x^\frac{1}{10}\)
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\(∫ydx=a^\frac{1}{5}x+\frac{5}{6}x^\frac{6}{5}-\frac{20}{11}a^\frac{1}{10}x^\frac{11}{10}\)
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\(A=∫_0^a ydx=a^\frac{6}{5}+\frac{5}{6}a^\frac{6}{5}-\frac{20}{11}a^\frac{12}{10}=\frac{a^\frac{6}{5}}{66}\)
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DONE

Revision as of 04:34, January 16, 2020

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\(x^\frac{1}{10}+y^\frac{1}{2}=a^\frac{1}{10}\)

x-intercept: set y=0, so x=a

\(y^\frac{1}{2}=a^\frac{1}{10}-x^\frac{1}{10}\)

\(y=a^\frac{1}{5}+x^\frac{1}{5}-2a^\frac{1}{10}x^\frac{1}{10}\)

\(∫ydx=a^\frac{1}{5}x+\frac{5}{6}x^\frac{6}{5}-\frac{20}{11}a^\frac{1}{10}x^\frac{11}{10}\)

\(A=∫_0^a ydx=a^\frac{6}{5}+\frac{5}{6}a^\frac{6}{5}-\frac{20}{11}a^\frac{12}{10}=\frac{a^\frac{6}{5}}{66}\)

DONE

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