∫ k dx
To evaluate the integral ∫ k dx, where k is a constant, we can use the integral rules
To evaluate the integral ∫ k dx, where k is a constant, we can use the integral rules.
The integral of a constant with respect to x is equal to the constant multiplied by x plus a constant of integration. In other words, ∫ k dx = kx + C, where C is the constant of integration.
This result comes from the fact that when you integrate a constant, it represents the area under the curve of a horizontal line, which is a rectangle. The area of a rectangle is equal to its base (which is x) times its height (which is k). Therefore, the area is kx, and we add the constant of integration since the integral is an indefinite integral.
So, the integral ∫ k dx = kx + C.
For example, if we have ∫ 3 dx, the integral is equal to 3x + C.
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