Double Integral Syntax: WolframAlpha Solver

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SUMMARY

The discussion centers on the correct syntax for evaluating double integrals using the WolframAlpha online integrator. Users attempted various syntax formats, including "integral[{l1,0,0} cross {l2,0,0} cross {0,-1,0}, {l1,0,1}, {l2,0,1}]" and "integral[l1,0,1] integral[l2,0,1] {l1,0,0} cross {l2,0,0} cross {0,-1,0}". However, these attempts produced incorrect results, indicating that the syntax for vector cross products in double integrals is not straightforward. The discussion highlights the limitations of WolframAlpha in handling complex double integrals effectively.

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  • Familiarity with vector calculus, specifically cross products
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  • Knowledge of integral notation and syntax conventions
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Mathematicians, students, and educators who are working with double integrals and seeking to utilize WolframAlpha for accurate calculations.

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Online integrator: http://www.wolframalpha.com/


[tex]\int \int (x,y,z) \times (x,y,z) \times (x,y,z)[/tex]


[tex]\int_{L1} \int_{L2} (dl1,0,0) \times (dl2,0,0) \times (0,-1,0)[/tex]

What would be correct syntax to evaluate this double integral?



I tried these, but they produce wrong result:

try #1: integral[{l1,0,0} cross {l2,0,0} cross {0,-1,0}, {l1,0,1}, {l2,0,1}]

try #2: integral[l1,0,1] integral[l2,0,1] {l1,0,0} cross {l2,0,0} cross {0,-1,0}
 
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Dunno about the vector stuff, but for regular double integrals I've used the following syntax: integrate x^2 * e^y dx dy, x=0..1, y=0..1

edit: however it doesn't seem very smart and in my experience frequently fails even on relatively simple double integrals.
 
Lord Crc said:
Dunno about the vector stuff, but for regular double integrals I've used the following syntax: integrate x^2 * e^y dx dy, x=0..1, y=0..1

edit: however it doesn't seem very smart and in my experience frequently fails even on relatively simple double integrals.

That is yet another way to say the same thing, apperantly, but then, I guess, the original result might actually be correct after all. Who is the judge?
 

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