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Re: Integrating a Matrix

I have a 3X3 matrix of functions fij[x], for i,j = 1,2,3, and I want to NIntegrate all nine elements over 0<x<1 to get a matrix of constants. Is there an easy way to do this other that doing 9 individual NIntegration's?

This is a matrix 3x3:

m = Power[x, RandomInteger[{0, 9}, {3, 3}]]

{{x^4, x^6, x^4}, {x^7, x^8, x^4}, {x^6, x^2, x^4}}

And here is the integration:

mInt = Integrate[m, {x, 0, 1}]

{{1/5, 1/7, 1/5}, {1/8, 1/9, 1/5}, {1/7, 1/3, 1/5}}

You may also want to look at the result in the form of a matrix:


Have fun, Alexei

Alexei BOULBITCH, Dr., habil.
ZAE Weiergewan,
11, rue Edmond Reuter,
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Office phone :  +352-2454-2566
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e-mail: alexei.boulbitch at

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