Summing integrands in a loop

I want to integrate the following expression:

A = x + x^2 + x^3;

How can one do it using a for loop? For instance, I am trying something like as follows:

for k = 1:1:3
fun1{k} = @(x)(x.^k);
end
A_sum = cellfun(@sum,fun1{k});
int = integral(A_sum, 0, 1)

But this results in an error.

I know that the above expression can be evaluated easily without using a for loop. But the actual expression that I want to evaluate contains the summation of about 200 complex terms.

Answer 1

[Star Strider]

The loop is not necessary.

Try this:

fun1 = @(x,k)(x.^k);

k = 1:3;
intv = integral(@(x)sum(fun1(x,k)), 0, 1, 'ArrayValued',1)
Check = integral(@(x) x + x.^2 + x.^3, 0, 1, 'ArrayValued',1)       % Check That Vectorisation Worked

Both produce the same result:

intv = 
   1.083333333333333

Check = 
   1.083333333333333

.