To integrate a function f(x) which consists of two functions g(x) and h(x) where g(x) is exact integrable and h(x) is integrable by numerical method in MATLAB, you can use a combination of symbolic and numerical integration.

Here's an example:

Suppose we want to integrate the function f(x) given by:

```

f(x) = g(x) + h(x)

```

where g(x) is exact integrable and h(x) is integrable by numerical method.

1. Define the symbolic expression for g(x) using the `syms` function:

```

syms x

g(x) = sin(x);

```

2. Define a function handle for h(x) using the `@(x)` notation:

```

h = @(x) x.^2;

```

3. Integrate g(x) symbolically using the `int` function:

```

G = int(g(x), x);

```

4. Define the function f(x) as the sum of g(x) and h(x):

```

f = @(x) G + h(x);

```

5. Integrate f(x) numerically using the `integral` function:

```

a = 0; % lower limit of integration

b = pi/2; % upper limit of integration

Q = integral(f, a, b);

```

The variable `Q` will now contain the numerical value of the definite integral of f(x) from a to b.

Note that in this example, we used the `int` function to integrate g(x) symbolically because it is an exact integrable function. If g(x) were not exact integrable, you could use numerical integration to approximate its integral as well.

Hope it helps!!

Credit: mainly to AI tools

funciton is f(x)=g(x)*h(x)