# Thread: dbl int and desmos graoh

1. ## dbl int and desmos graoh

$\tiny{15.3.53}\\ \displaystyle \int_{0}^{\frac{\pi}{6}} \int_{0}^{\sec{\theta}} 6r^{3} drd\theta$

just want to see if this desmos graph is correct
wanted to shade the wedge area but ???
also got $0.96225$ for calulated answer but they wanted exact

2. ## Re: dbl int and desmos graoh

It looks to me like you have the graph of $\displaystyle r= \pi/6$, the circle, in polar coordinates but the graph of $\displaystyle r= sec(\theta)$ (NOT $\displaystyle x= sec(y)$) in Cartesian coordinates.

3. ## Re: dbl int and desmos graoh

\textsf{ok the selection of graphs looks like an angle of $\displaystyle\frac{\pi}{6}$ intersecting $\sec{\theta}$ ?}\\
\textsf{$r=\sec \left(\theta \right)$ is a vertical straight line at $x=1$}
\textsf{in other words I lost!!!}

4. ## Re: dbl int and desmos graoh

ok the selection of graphs looks like an angle of
$\displaystyle \displaystyle\frac{\pi}{6}$ intersecting $\displaystyle r=\sec{\theta}$
is a vertical straight line at
$\displaystyle x=1$