To integrate the constant expression 3 with respect to x, we will apply the basic rule of integration for constant functions.
The integral of a constant a with respect to x is given by the formula:
∫ a dx = ax + C
Here, C represents the constant of integration.
In our case, we are integrating the constant 3:
∫ 3 dx
Applying the formula:
- Let a = 3.
- This gives us: ∫ 3 dx = 3x + C
So the result of the integration is:
3x + C
In summary, when integrating a constant, we simply multiply the constant by the variable of integration and add the constant of integration.