Can I store indefinite integral using a function handle?

Is it possible to store indefinite integral in a function handle and input values?

syms x

a=@(x)x^2;

b=@(x)int(a(x));

%E.g. when x=1 b=?

b(1)

%E.g. when x is a vector b=?

%int will always output x^n, but in order to plug in a vector it has to be changed to x.^n. Is there an automatic way to add the dot? I suppose I can use for loop and calculate b for each individual x and store it in a vector

x_1=1:0.1:10;

b(x_1)

Answer 1

[Star Strider]

See if this does what you want:

syms x
a(x) = x^2;
b(x) = int(a(x));
bfcn = matlabFunction(b)

produces:

bfcn =

  function_handle with value:

    @(x)x.^3./3.0

Substituting your scalar and vector:

x =
     1
Out = bfcn(x)
Out =
    0.3333

    
x =
     1     3     5     7
Out = bfcn(x)
Out =
    0.3333    9.0000   41.6667  114.3333

[Kai-Lung Chu]

It works fine like this, thanks

syms x

a = @(x)x^2;

b = @(x)int(a(x));

c = matlabFunction(b(x));

c(1)

[Star Strider]

As always, my pleasure.