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Calculus1 17 Online
OpenStudy (anonymous):

can someone answer what is double integral?

OpenStudy (anonymous):

The multiple integral is a type of definite integral extended to functions of more than one real variable, for example, f(x, y) or f(x, y, z). Integrals of a function of two variables over a region in R2 are called double integrals.

OpenStudy (amistre64):

its an iterated integration ....

OpenStudy (dmezzullo):

@Tototot Welcome to OpenStudy!

OpenStudy (dmezzullo):

@amistre64 the integral of an integral?

OpenStudy (amistre64):

in a sense ... yes :)

OpenStudy (amistre64):

but usually its assignment is for multivariables

OpenStudy (dmezzullo):

never really understood calc 1.

OpenStudy (anonymous):

tototot is my another account. so, how do you find a double integral?

OpenStudy (amistre64):

essentially it goes something like this \[\int_{p}^{q}\int_{a}^{b}f(x,y)~dy\ dx\] \[\int_{p}^{q}\left(\int_{a}^{b}f(x,y)~dy\right)\ dx\] \[\int_{p}^{q}\left(F(x,b)-F(x,a)\right)\ dx\] \[\int_{p}^{q}g(x)\ dx\] \[G(p)-G(q)\]

OpenStudy (amistre64):

lol, got my p and q backwards

OpenStudy (dmezzullo):

that is pretty much what I think of as an integral of an integral.

OpenStudy (amistre64):

the notion is valid, but im sure there are sticklers that would frown on that assessment

OpenStudy (anonymous):

how do you find a double integral?

OpenStudy (amistre64):

an integral can find an area under a curve; so say an integral of an integral amount to saying the area of the area under a curve. double integration is finding the volume under a surface ....

OpenStudy (amistre64):

I just showed you the basic steps .... unless youve got something specific to toss around its the best we can do

OpenStudy (anonymous):

How do you find the volume below a multivariable function?

OpenStudy (amistre64):

|dw:1362750234214:dw|by finding little slices

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