Integrating a constant expression, such as 3, with respect to x is a straightforward process in calculus. When you perform integration, you are essentially finding the area under the curve of the function you are integrating. Here, our function is a constant.
The integration of a constant c with respect to x can be described by the formula:
∫ c \, dx = c \cdot x + C
where C is the constant of integration.
For our specific case, you can apply this formula as follows:
∫ 3 \, dx = 3 \cdot x + C
Thus, the integral of 3 with respect to x is:
3x + C
In summary, to integrate the constant expression 3 with respect to x, the result is 3x + C. This result represents a family of functions with different vertical shifts depending on the value of C.