The Power Rule of Integration: Finding the Integral ∫ k dx with Step-by-Step Instructions

∫ k dx

To find the integral of the function ∫ k dx, where k is a constant, we can follow these steps:

Step 1: Recall the power rule of integration, which states that the integral of x^n with respect to x is (1/n+1)x^(n+1) + C, where C is the constant of integration

To find the integral of the function ∫ k dx, where k is a constant, we can follow these steps:

Step 1: Recall the power rule of integration, which states that the integral of x^n with respect to x is (1/n+1)x^(n+1) + C, where C is the constant of integration.

Step 2: Since k is a constant, we can rewrite the function as ∫ k dx = k ∫ 1 dx.

Step 3: Now, we can integrate the function ∫ 1 dx. The integral of a constant with respect to x is simply the constant multiplied by x. Therefore, ∫ 1 dx = x + C.

Step 4: Finally, multiplying the constant k with the integral, we get the solution to ∫ k dx: k(x + C).

So, the integral of ∫ k dx is k(x + C), where C represents the constant of integration.

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