functions with different conditions

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.

Answer 1

[Stephen23]

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