Re: Integrating a Matrix

• To: mathgroup at smc.vnet.net
• Subject: [mg132066] Re: Integrating a Matrix
• From: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>
• Date: Fri, 29 Nov 2013 03:49:14 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• Delivered-to: l-mathgroup@wolfram.com
• Delivered-to: mathgroup-outx@smc.vnet.net
• Delivered-to: mathgroup-newsendx@smc.vnet.net

```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?

Hi,
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:

mInt//MatrixForm

Have fun, Alexei

Alexei BOULBITCH, Dr., habil.
IEE S.A.
ZAE Weiergewan,
11, rue Edmond Reuter,
L-5326 Contern, LUXEMBOURG

Office phone :  +352-2454-2566
Office fax:       +352-2454-3566
mobile phone:  +49 151 52 40 66 44

e-mail: alexei.boulbitch at iee.lu

```

• Prev by Date: Re: Mathematica on Centos 6.3
• Next by Date: Re: Integrating a Matrix
• Previous by thread: Re: Integrating a Matrix
• Next by thread: hangup with Export