Numerical Integration by Matlab

Please mention about the tolerance of accuracy

9 个评论

What have you done so far? What specific problems are you having with your code? Are you directed to use a specific technique to come up with an approximation?
I don't know how to start,can you provide me the answer?no,I am not directed to use a specific technique to come up with an approximation
I can't just use the command,I want the code written by ourselves
You said that you are not directed to use a specific technique, so you can use integral(). Or vpaintegral().
but if I use integral,I can't set the tolerance of accuracy?
https://www.mathworks.com/help/matlab/ref/integral.html#btbbkta-1-AbsTol
I have tried but I want to set the tolerance of accuracy 10^-7 but the the results shown in the Matlab is 4decimal places,I don't think the AbsTol is effective?
Give the command
format long g
and then display the result again.
By default, MATLAB only displays 4 decimal places, but the values are stored internally to higher precision.

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回答(1 个)

James Tursa
James Tursa 2020-12-28
编辑:James Tursa 2020-12-29

0 个投票

Hint: You might look here:
Knowing that the integral of the Normal density function from -infinity to +infinity is 1 exactly, maybe you can come up with a change of integration variable to get that equation in a form that matches your integral to get the exact answer directly. Starting with a standard Normal density function (mu=0, sigma=1), it is a pretty easy substitution from there to get what you have.

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