Status: Valid
Owner: ----
CC: [email protected]
Labels: Type-Defect Priority-Medium Integration

New issue 3852 by [email protected]: Multiple integrals with piecewise should be smarter
http://code.google.com/p/sympy/issues/detail?id=3852

    >>> integrate(y*cos(x*y), x, y)
    ⌠
    ⎮ ⎧  x⋅y     for y = 0
    ⎮ ⎨                    dy
    ⎮ ⎩sin(x⋅y)  otherwise
    ⌡

Some issues here:

- The second integral was not computed.
- x*y == sin(x*y) if y = 0. The division check should check to see if it cancels something out. (this logic could also go in Piecewise, though it might be too smart for it) - Does it even make sense to have a pointwise condition on the integration variable? If not, is it possible to pass this information through to the subalgorithms?

While we fix this, what is a simple double indefinite integral that doesn't do this (for the tutorial)?

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