6.1 Areas Between Curves/8: Difference between revisions
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[[File: Screen_Shot_2022-11-28_at_9.14.14_PM.png| | [[File: Screen_Shot_2022-11-28_at_9.14.14_PM.png|right|750px]] | ||
<br><br><math> | |||
y=x^{2}-2x \qquad y=x+4</math> | |||
<br><br> | |||
<math> | <math> | ||
x=4 \qquad x=-1 | |||
</math> | |||
<br><br> | |||
<math> | |||
\int_{-1}^{4} (x+4-x^2+2x)dx | |||
</math> | |||
<br><br> | |||
<math> | |||
=\Bigg|_{-1}^{4}\frac{3}{2}x^2+4x-\frac{1}{3}x^3 | |||
</math> | |||
<br><br> | |||
<math> | |||
=\frac{3}{2}(4)^2-\frac{1}{3}(4)^3+\frac{3}{2}(-1)^2+4(-1)-\frac{1}{3}(-1)^3 | |||
</math> | |||
<br><br> | |||
<math> | |||
=\frac{125}{6} | |||
</math> | </math> | ||
Latest revision as of 04:57, 16 December 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 y=x^{2}-2x \qquad y=x+4}
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 x=4 \qquad x=-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 \int_{-1}^{4} (x+4-x^2+2x)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 =\Bigg|_{-1}^{4}\frac{3}{2}x^2+4x-\frac{1}{3}x^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{3}{2}(4)^2-\frac{1}{3}(4)^3+\frac{3}{2}(-1)^2+4(-1)-\frac{1}{3}(-1)^3 }
Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle ={\frac {125}{6}}}