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Question: How to declare 3-d vectors and integrate a function in spherical and Cartesian co-ordinates in Maple?

Question:How to declare 3-d vectors and integrate a function in spherical and Cartesian co-ordinates in Maple?

Arny 20 Maple
integration vector
November 01 2017
1

How does one declare 3d vector in Maple, say p1, p3, and x, and integrate the following function from -Infinity to q, and q to + Infinity? Note that there is an iota in the exponential, and p1.x is the dot product of p1 and x. 

Integrate from -Infinity to q, q to infinity w.r.t. p1 and p3 

e^( - i p1 . x ) * 1/((p3 -p1)^2)

The integration should preferably be in spherical co-ordinates, but a demonstration in Cartesian co-ordinates would also be helpful. 
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