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Question: integration over vector variables - how to evaluate, with correct input?

Question:integration over vector variables - how to evaluate, with correct input?

Arny 20 Maple
integration syntax vectorcalculus
August 25 2018
1

What is it that's wrong with the following input in Maple?
Note that all variables are real. The sample worksheet is attached. 


 

NULL

> 

with(Physics[Vectors])
> 

p_ := px_i+py_j+pz_k

px_i+py_j+pz_k

 (1)

NULL

> 

q_ := qx_i+qy_j+qz_k

qx_i+qy_j+qz_k

 (2)

NULL

> 

w_ := wx_i+wy_j+wz_k

wx_i+wy_j+wz_k

 (3)

NULL

> 

'`#mover(mi("p"),mo("→"))`^2/(((a^2+`#mover(mi("p"),mo("→"))`^2)^2)(`#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`).(`#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`)+b1^2)'

`#mover(mi("p"),mo("→"))`^2/(Typesetting:-delayDotProduct(((a^2+`#mover(mi("p"),mo("→"))`^2)^2)(`#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`), `#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`)+b1^2)

 (4)

NULL

> 

int(`#mover(mi("p"),mo("→"))`^2/(Typesetting:-delayDotProduct(((a^2+`#mover(mi("p"),mo("→"))`^2)^2)(`#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`), `#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`)+b1^2), [px = -infinity .. infinity, py = -infinity .. infinity, pz = -infinity .. infinity])

`#mover(mi("p"),mo("→"))`^2*infinity/((a(`#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`)^2+`#mover(mi("p"),mo("→"))`(`#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`)^2)^2.(`#mover(mi("p"),mo("→"))`-`#mover(mi("q"),mo("→"))`+`#mover(mi("w"),mo("→"))`)+b1^2)

 (5)

NULL

> 

NULL

NULL


 

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