Integration using a vector as function parameter

I'm a recent joinee to the MATLAB community and have what I think is fairly simple question but can't seem to find the answer so maybe its less simple than I think.

I have a vector containing a string of data and want to use that data to provide a single parameter in a function for definite integration.

Ultimately I want to write a function that will return a vector that contains the definite integrals of this function using the previous vector as a parameter of the function.

i.e.

N=[1:4];
Crush = @(x,n) x.^n;

M = quad(crush(x,N),0,2);

I know that this doesn't work at least in this form because quad will not accept a function with argument, but hopefully my intention is clear. I was wondering if there is a way to do this without resorting to a complex for/while loop. I suspect that it can be done by nesting functions and I'm just missing something very simple. I'm using x^n as an example for the function.

Thanks for any help,

Paul

Answer 1

[Mike Hosea]

Not sure of your intention. This is how I interpreted what you wrote:

>> N = 1:4;
>> Crush = @(x,n) x.^n;
>> integral(@(x)Crush(x,N),0,2,'ArrayValued',true)
ans =
            2       2.6667            4          6.4
>> quadv(@(x)Crush(x,N),0,2)
ans =
            2       2.6667            4          6.4

Use INTEGRAL for 12a and later, QUADV for 11b and earlier releases of MATLAB. -- Mike

[Paul Mitchell]

Exactly what I was trying to do. Just didn't quite understand how to make the nested function work that way, but that did the trick.

Thank you very much.