Evaluate the following definite integrals as limit of sums.`int_1^4 (x^2-x)dx`

Explanation

To evaluate the definite integral \( \int_1^4 (x^2 - x) \, dx \) as a limit of sums, we will follow these steps:

### Step 1: Identify the function and the limits
The function we are integrating is \( f(x) = x^2 - x \), and the limits of integration are \( a = 1 \) and \( b = 4 \).

### Step 2: Determine \( h \)
The width of each subinterval, \( h \), is given by:
\[
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