Math Is Fun Forum

LuisRodg

Real Member

Registered: 2007-10-23

Posts: 322

How to numerically approximate ln(x) ?

I have to approximate ln(5) with n=10. Where n is the subintervals.

However, im not sure how to continue?

Last edited by LuisRodg (2008-01-20 05:18:12)

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: How to numerically approximate ln(x) ?

Looks to me like this is a job for the trapezium rule.

I think you're right up until the last part, but then

.
(k is an integer between 0 and 10)

Then, dividing the graph into ten trapezia(?), the area of each is given by:

Summing those gives

Evaluate that to get the approximation.

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It wanted to be normal.