- #1
TSN79
- 424
- 0
I'm supposed to find the volume of the figure that appears by rotating the follwing around the x-axis:
[tex]y = e^x \cdot \sin (x) & x \in \left[ {0,\left. \pi \right]} \right.[/tex]
This means (I think) that the function needs to be to the second power and multiplied by Pi in an integral. So the integral becomes
[tex]
\pi \int {e^{2x} \cdot \sin ^2 (x)dx}
[/tex]
I need hints on how to solve this integral, I've tried integration by parts but not really gotten anywhere...am I on the right track?
[tex]y = e^x \cdot \sin (x) & x \in \left[ {0,\left. \pi \right]} \right.[/tex]
This means (I think) that the function needs to be to the second power and multiplied by Pi in an integral. So the integral becomes
[tex]
\pi \int {e^{2x} \cdot \sin ^2 (x)dx}
[/tex]
I need hints on how to solve this integral, I've tried integration by parts but not really gotten anywhere...am I on the right track?