I'm doing calclus 3 right now and I'm trying to put together the results of integrals.(adsbygoogle = window.adsbygoogle || []).push({});

Can you correct me if I'm wrong and the one's I missed ( particularly 4 / 5 / 6). I also that the integrals can mean different things based on context. But in terms of areas and volumes atleast?

1) ∫ dx {limits x=a to x=b} -> gives length of a line segment

2) ∫ f(x) dx {limits x=a to x=b} -> area of region below y= f(x) >= 0 and y =0

3) ∫ ∫ dy dx {limits x=a to x=b / y= f_{1}x and y = f_{2}x} -> area between 2 curves

4) ∫ ∫ f(x,y) = z dy dx {limits x=a to x=b / y= f_{1}x and y = f_{2}x} -> volume bounded by the surface

5) ∫ ∫ ∫ dx dy dz -> ???

6) ∫ ∫ ∫ f(x,y,z) dx dy dz -> ???

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# The results of integrals?

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