Find the indefinite integral. (Remember the constant of integration.)(2x − 7) dx

To find the indefinite integral of the function (2x - 7) dx, we need to apply the power rule for integration, which states that the integral of x^n dx is (1/(n+1))x^(n+1).

Step 1: Identify the power of x in each term. In the first term, 2x, x is to the power of 1. In the second term, -7, x is to the power of 0 (since any number to the power of 0 is 1).

Step 2: Apply the power rule to each term.

For the first term, 2x, increase the power by 1 (from 1 to 2) and divide by the new power. This gives us (2/2)x^2 = x^2.

For the second term, -7, increase the power by 1 (from 0 to 1) and divide by the new power. This gives us (-7/1)x = -7x.

Step 3: Add the constant of integration, C, to account for the fact that the antiderivative is not unique, but can differ by a constant.

So, the indefinite integral of (2x - 7) dx is x^2 - 7x + C.