Question

evaluate the following indefinite integral.
int 4 , dx
int 4 , dx = square

Explanation:

Step1: Apply the integral rule for constant

The integral of a constant \(k\) with respect to \(x\) is \(k\times x + C\), where \(C\) is the constant of integration. For \(k = 4\), we have \(\int4dx=4\int dx\).
Since \(\int dx=x + C_1\) (where \(C_1\) is a constant), then \(4\int dx = 4x+4C_1\). Let \(C = 4C_1\) (another constant).

Answer:

\(4x + C\)