Let R be the region in the first quadrant bounded by the y-axis,y=2 and the graph of [tex]e^\frac{x}{2}[/tex]. Create a solid of revolution by revolving R about the y-axis. Use the shell method to find the volume. This is the integral i've come up with, is it correct? And of coures i'll use inegration by parts to calculate the integral.(adsbygoogle = window.adsbygoogle || []).push({});

[tex] 2\pi\int_{0}^{\ln4}(x)(e^\frac{x}{2})dx[/tex]

and using integration by parts yields.

[tex] 2\pi(2xe^\frac{x}{2}-4e^\frac{x}{2})\right]]_{0}^{\ln4}[/tex]

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# Homework Help: Did i do this correctly

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