SymJava
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Do you intend implement the integration methods?
So far the integration method is implemented numerically. Examples for 1D, 2D and 3D numerical integrations can be found here https://github.com/yuemingl/SymJava/blob/master/src/symjava/examples/NumericalIntegration.java I don't have enough domain knowledge about symbolic integration so far. If some one interested in that area it is welcome to contribute.