(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A modified form of the trapezium rule for calculating the area under a curve makes use of strips

of varying width: by using narrower strips where the gradient varies more rapidly, better

accuracy can be achieved. Create a function to perform the integral

[tex]\int1/x dx[/tex] between 1 and 101

using the trapezium rule with strips that increase geometrically in width, such that,

[tex]\Delta[/tex]X_{n}=r^{n-1}[tex]\Delta[/tex]X_{1}where [tex]\Delta[/tex]X_{n}is the width of the nth strip and r is a constant (which is an

input to the function).

Choose the value of Δx1 to give a total of 100 strips for any value of r (hint: you will need the

formula for the sum of a geometric progression to calculate Δx1).

2. Relevant equations

3. The attempt at a solution

Not sure where to start really, I mean a simple application of the trapezium rule to it would be simple enough. Define a vector x=[1:1:101] and then y=1./x and integral=trapz(x,y) or something along those lines (I don't have access to MATLAB from home so I couldn't be sure). Any point in the right direction would be much appreciated.

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# Homework Help: MATLAB help

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