- #1

karush

Gold Member

MHB

- 3,269

- 5

$\tiny{M2215b.08}$

Find the volume of the solid

\begin{align*}\displaystyle y&=\sin (x^2)\\ 0&\le x \le \frac{\pi}{2}\\

\end{align*}

about the y-axis

View attachment 7629

ok this looks like a cylindrical Shell solution

So I set it up like this,,,,, hopefully

$\begin{align*}\displaystyle

V&=\int_0^12\pi x\left(\sin x^2\right)\ dx\\

\end{align*}$

Find the volume of the solid

\begin{align*}\displaystyle y&=\sin (x^2)\\ 0&\le x \le \frac{\pi}{2}\\

\end{align*}

about the y-axis

View attachment 7629

ok this looks like a cylindrical Shell solution

So I set it up like this,,,,, hopefully

$\begin{align*}\displaystyle

V&=\int_0^12\pi x\left(\sin x^2\right)\ dx\\

\end{align*}$