6.1 Areas Between Curves/7: Difference between revisions
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<math>f(x)=x</math> | <math>f(x)=x</math> | ||
<math>(0,0)</math> | |||
<math>(1,1)</math> | |||
<math>g(x)=x^2</math> | <math>g(x)=x^2</math> | ||
<math>\int_{ | <math>\int_{0}^{1}\left(R-r\right)dx</math> | ||
<math>R=x</math> | <math>R=x</math> | ||
<math>r=x^2</math> | <math>r=x^2</math> | ||
<math>\int_{0}^{1}\(x-x^2)dx</math> | |||
<math>\int_{0}^{1}\left(x-x^2\right)dx</math> | |||
<math>\frac{x^2}{2}-\frac{x^3}{3}\bigg|_{0}^{1}</math> | <math>\frac{x^2}{2}-\frac{x^3}{3}\bigg|_{0}^{1}</math> | ||
<math>\frac{1^2}{2}-\frac{1^3}{3}-\frac{0^2}{2}-\frac{0^3}{3} | |||
<math | <math>=\frac{1^2}{2}-\frac{1^3}{3}-\frac{0^2}{2}-\frac{0^3}{3}</math> | ||
<math>=\frac{1}{6}</math> | |||
Revision as of 23:24, 18 September 2022
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle f(x)=x}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle (0,0)} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle (1,1)}
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle g(x)=x^{2}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int_{0}^{1}\left(R-r\right)dx}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle R=x}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle r=x^2}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int_{0}^{1}\left(x-x^2\right)dx}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \frac{x^2}{2}-\frac{x^3}{3}\bigg|_{0}^{1}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle =\frac{1^2}{2}-\frac{1^3}{3}-\frac{0^2}{2}-\frac{0^3}{3}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle =\frac{1}{6}}