6.1 Areas Between Curves/22: Difference between revisions
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<math> | <math> | ||
\int_{0}^{1} \left(\sin(\frac{x\pi}{2})\right)dx = \int_{}^{} | \int_{0}^{1} \left(\sin(\frac{x\pi}{2})\right)dx = \int_{0}^{\frac{\pi}{2}} \sin(u)du | ||
u = \frac{x\pi}{2} | u = \frac{x\pi}{2} | ||
du = \frac{\pi}{2}dx | du = \frac{\pi}{2}dx | ||
\frac{2}{\pi}du=dx | \frac{2}{\pi}du=dx | ||
b | b= \frac{(0)\pi}{2} = 0 | ||
a | a= \frac{(1)\pi}{2} = \frac{\pi}{2} | ||
</math> | </math> | ||
Revision as of 02:58, 20 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 \begin{align} & \color{red}\mathbf{y= \sin(\frac{\pi x}{2})} & \color{royalblue}\mathbf{y=x} \\ \end{align} }
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 \begin{align} \sin(\frac{x\pi}{2}) &= x \\ x &= 0 \\ x &=1 \\ \end{align} }
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(\sin\left(\frac{x\pi}{2}\right) - x\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 \int_{0}^{1} \left(\sin(\frac{x\pi}{2})\right)dx = \int_{0}^{\frac{\pi}{2}} \sin(u)du u = \frac{x\pi}{2} du = \frac{\pi}{2}dx \frac{2}{\pi}du=dx b= \frac{(0)\pi}{2} = 0 a= \frac{(1)\pi}{2} = \frac{\pi}{2} }