∫ k dx
The integral of k dx, denoted as ∫ k dx, represents the antiderivative of the constant function k with respect to the variable x
The integral of k dx, denoted as ∫ k dx, represents the antiderivative of the constant function k with respect to the variable x. In simpler terms, it asks the question: “What function, when differentiated with respect to x, gives us the constant value k?”
To solve this integral, we can note that the derivative of any constant is always zero. Therefore, the antiderivative of k dx is kx + C, where C is the constant of integration. The addition of C is necessary because when we differentiate the function kx + C with respect to x, the constant C becomes zero.
In conclusion, ∫ k dx = kx + C, where C is the constant of integration.
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