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Mathematics 21 Online
OpenStudy (anonymous):

can you explain me this? (ill post to down)

OpenStudy (anonymous):

\[da=\int\limits_{\theta=0}^{\pi}\int\limits_{\phi=0}^{2\pi} r^{2} \sin \Theta d \Theta d \phi\]

OpenStudy (anonymous):

its simple

OpenStudy (anonymous):

your limits are around the wrong way though lol

OpenStudy (anonymous):

since you dont integrate with respect to r, you can treat it as a constant and pull it outside the whole integral

OpenStudy (anonymous):

also, since your limits of theta and phi do not have any variables in them ( ie . the region of a integration is a rectangle ) , you can split it into a product of integrals

OpenStudy (anonymous):

oO

OpenStudy (anonymous):

\[= r^2 \int\limits_{0}^{2\pi}d \phi \int\limits_{0}^{\pi} \sin \theta d \theta\]

OpenStudy (anonymous):

now looks like simple...

OpenStudy (anonymous):

fairly sure its 4 pi r^2

OpenStudy (anonymous):

this is for a sphere

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