6.5 Average Value of a Function/17: Difference between revisions
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1. Use the Average Value from a to b: | |||
<math> | |||
f_{\text{avg}} = \frac{1}{b-a}\int_{a}^{b}f(x)\,dx | |||
</math> | |||
<math> | <math> | ||
\int_{0}^{12} 50 + 14\sin(\frac{\pi}{12}t)\,dt =\frac{1}{12} | \int_{0}^{12} 50 + 14\sin(\frac{\pi}{12}t)\,dt =\frac{1}{12} | ||
</math> | </math> | ||
Revision as of 16:32, 29 November 2022
1. Use the Average Value from a to b:
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_{\text{avg}} = \frac{1}{b-a}\int_{a}^{b}f(x)\,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 \int_{0}^{12} 50 + 14\sin(\frac{\pi}{12}t)\,dt =\frac{1}{12} }