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Question: Numeric Integration over Discrete Data

Question:Numeric Integration over Discrete Data

mskalsi 290 Maple
numeric discrete
March 12 2016
1

Dear All

I have an numerical integral to solve over set of 10 discrete values. The problem is, this integral have two dependent variables. Please see following:

Numerical_Integration.mw

How to Solve following integral numerically over discrete data values?

> 

I[k] = int(rho(x)*x^4*eta[k](x)^2, x)

I[k] = int(rho(x)*x^4*eta[k](x)^2, x)

 (1)

where we have data values are given as under

x=1, 2, 3, 4, 5, 6, 7, 8, 9, 10

rho(x)= 0.045, 0.0459, 0.0564, 0.05689, 0.06015, 0.06235, 0.0654, 0.0687, 0.07012, 0.07251

eta[k](x)= 1.15, 1.256, 1.56, 1.85, 1.86, 2.01, 2.35, 2.56, 2.86, 2.901

 

Download Numerical_Integration.mw

Regards
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