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Mathematics 20 Online
OpenStudy (anonymous):

Will award medal help with Writing integrals

OpenStudy (anonymous):

OpenStudy (mathmate):

@pmkat14 can you draw a sketch to help understand the problem?

OpenStudy (anonymous):

|dw:1418601772064:dw|

OpenStudy (anonymous):

i get the bounds just the order of integration is tricking me, for

OpenStudy (anonymous):

\[\int\limits_{a}^{2}e ^{x ^{2}}dx\]

OpenStudy (mathmate):

Use a type 1 region, so it looks like \(\int_0^2\int_0^x...dy dx\) and you should do well.

OpenStudy (anonymous):

well yea i get the double integral, but for the first question i dont think i completly understand when it means, to set up an expression depending on a, then id think it should be dy

OpenStudy (anonymous):

because y=a and you would have the integral depending on y as the inner one

OpenStudy (anonymous):

@mathmate

OpenStudy (mathmate):

You're ok with the double integral. The function has three variables, x, y and z, thus f(x,y,z). By setting y=a (a constant), then the function becomes f(x,a,z) which is a function of two variables, or essentially, you have to evaluate that area of W (the cross section. |dw:1418606444541:dw|

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