MATLAB: Functions with different conditions

conditional functionMATLAB

If I have the conditions f(x) = {x^2, x>1 and x^4, x<=1}

How would I write this as a function with format f = @(x) …… Can I do something like f=@(x) (x^2,x>1; x^4, x<=1);?

I also want to intergrate this afterwards like integral(f,0,2); for example.

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

Hi,

syms f(x)
fun = f(x) == (x^2 + 1)^3
fun = collect(fun,x)

results in:

fun =
f(x) == (x^2 + 1)^3
fun =
f(x) == x^6 + 3*x^4 + 3*x^2 + 1

Assuming g(n) has vectored input/output, just do

 f=@(x) sum( exp( -g(1:n) .* x ));  %sum over 1...n

with obvious modifications for different ranges of n.