Understanding the Power Rule | Evaluating the Integral of a Constant with Respect to x

∫kdx

The symbol ∫ represents the integral in mathematics

The symbol ∫ represents the integral in mathematics. In this particular case, you are integrating a function with respect to the variable x. The variable k in the integrand represents a constant.

To evaluate the integral of k with respect to x, we use the power rule of integration. According to the power rule, when integrating a constant with respect to a variable, the result is the constant multiplied by the variable raised to the power of 1.

Therefore, ∫kdx = kx + C, where C is the constant of integration. The symbol C represents an arbitrary constant that is added to the result since the derivative of a constant is zero.

So, the integral of a constant k with respect to x is kx plus a constant C.

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