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Topic: Integrating a Matrix
Replies: 6   Last Post: Nov 29, 2013 3:48 AM

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Dave Snead

Posts: 52
Registered: 12/13/04
Re: Integrating a Matrix
Posted: Nov 28, 2013 2:19 AM
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Just give the matrix as the first argument of NIntegrate.
Here's an example:
NIntegrate[{{x, x^2, x^3}, {x^4, x^5, x^6}, {x^7, x^8, x^9}}, {x, 0, 1}]
evaluates to
{{0.5, 0.333333, 0.25}, {0.2, 0.166667, 0.142857}, {0.125, 0.111111,0.1}}

Dave Snead

-----Original Message-----
From: David Barnes
Sent: Tuesday, November 26, 2013 10:24 PM
Subject: 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?

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