`int_0^(2a)f(x)dx` is equal to `2int_0^af(x)dx` b. `0` c. `int_0^af(x)dx+int_0^af(2a-x)dx` d. `int_0^af(x)dx+int_0^(2a)f(2a-x)dx`

Explanation

To solve the integral \( \int_0^{2a} f(x) \, dx \) and determine which of the given options it is equal to, we will follow these steps:

### Step 1: Break the Integral
We can use the property of definite integrals which states:
\[ \int_a^b f(x) \, dx = \int_a^c f(x) \, dx + \int_c^b f(x) \, dx \]
In this case, we can break the integral from \( 0 \) to \( 2a \) into two parts:
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