MATLAB: Anonymous functions and integration

anonymous functionintegrationMATLAB

I want to integrate an anonymous function but be able to manipulate it first. For example

f = @(x) [x -x sin(x)];
r = integral (f'*f, 0, 1, 'ArrayValued', true);

This isn't possible. I would have to define a new function but this isn't flexible. Any alternatives to directly manipulate f?

Try

 r = integral (@(x)f(x)'*f(x), 0, 1, 'ArrayValued', true);

Assuming that f is a function handle already, such as

f = @(s) tan(s^2 + exp(-s));

then

f_new = @(x) integral(f, 0, x);
final_function = @(b) integral( @(x) f_new(x) .* g(x), 0, b);

and

final_function(2)

>> f = @(x) x.^2.*(x>1) + x.^4.*(x<=1);
>> integral(f,0,2)
ans =  2.5333