∫k dx
The expression ∫k dx represents the integral of a constant function
The expression ∫k dx represents the integral of a constant function.
When you take the integral of a constant function, the result is the value of the constant multiplied by the variable of integration. In this case, k represents a constant value.
So, the integral of k dx is simply k times x, plus a constant of integration (C):
∫k dx = kx + C
The constant of integration, denoted by C, is added because when you take the derivative of a constant, it is equal to zero, so any constant value could have been added during the integration process.
Therefore, the answer to the integral of k dx is kx + C, where k is a constant value and C is the constant of integration.
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