/sci/ - Science & Math

[Anonymous No.4271885]

Hey /sci/ i actually have a serious math question. Im not trolling.

For multivariable calculus, specifically in the area of double and triple integration how does one derive the integrand. I know in single variable the integrand is just the derivative, however with multi i feel like there is a different method. Thanks alot.

[Anonymous No.4271893]

It should be the same if you're taking the appropriate partial derivative.

[Anonymous No.4271896]

Think about integrands as integrating on a grand scale. So multi-variable integrands must mean integrating on many grand scales. But how can there be more than one grand scale? Surely one must be grand and others must be lesser.

You're being told lies, OP. You can only integrand single-variable integralites.

[Anonymous No.4271899]

>>4271893

so if i set it up as dydxdz would the integrand be the partial with respect to y? Then i derive my subsequent limits from the dimensions of the shape i want a volume of?

[Anonymous No.4272003]

OP can you tell us exactly what you're trying to do/establish here?

[Anonymous No.4272042]

int(xyz)dydxdz
int(xy^2z/2)dxdz
int(x^2y^2z/4)dz
x^2y^2z^2/8+C

[Anonymous No.4272053]

<span class="math">\int\int\int xyz dydxdz[/spoiler]

[fizixfag !!2lAY/u9qu1I No.4272082]

>>4271899
yerp...you work from the inside out. So first integrate with respect to y, then x, then z