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## Area for slicing

Can i ask what is the area we are refering to when we take such integral (r is the radius):

$$\int_{-\infty }^{\infty }e^{-r^{2}}dr$$

I'm suspecting that its is the area of slices of bell curve that rotates about the z-axis.

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 Blog Entries: 27 Recognitions: Gold Member Homework Help Science Advisor hi icystrike! it's the integral of a vertical slice of the bell curve through its centre
 Recognitions: Gold Member Science Advisor Staff Emeritus You understand, I hope, that finding area is one possible application of the integral. When we calculate an integral we are not necessarily finding any area at all!

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## Area for slicing

Thanks tiny-tim and HallsofIvy!

Yes! I know that! We can use Integral to compute things like work, flux, centroids .. =D

Its just that my teacher actually relate the slice as "some slice that is parallel to the y-axis" while i think that it should be the slice that is passing through origin(He've probably made some mistake)... (My teacher was actually comparing the volume of a rotated bell curve about z axis by slice and shells to evaluate the area under bell curve - $$A^{2}=\pi$$ )

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