To evaluate the definite integral ∫(2 to 4) 6x dx, we can use the power rule of integration. The antiderivative of 6x with respect to x is 3x^2.
Now, we can evaluate the definite integral by substituting the upper and lower limits into the antiderivative:
∫(2 to 4) 6x dx = [3x^2] from 2 to 4
Plugging in the upper limit (4) and the lower limit (2), we get:
[3(4)^2] - [3(2)^2] = 48 - 12 = 36.
Therefore, the value of the definite integral from 2 to 4 of 6x dx is 36.
