Chapter 5.6, Problem 7E

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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**Using the Midpoint Rule** In Exercises 7-14, use the Midpoint Rule with
*f* and the x-axis over the interval. Sketch the region. See *Examples 2 and 3.*

*Function Interval*

To determine

**To calculate:** The area bounded by the function *x* axis over the interval

Explanation

**Given Information:**

The provided function is

**Formula used:**

The approximate area of any definite integral

Step1: First divide the provided interval of the function into *n* sub intervals by the use of formula;

Step2: Use above subinterval find the midpoint of each sub interval.

Step3: Final step is to obtain approximate area by calculating function *f* at each mid-point from the use of formula;

**Calculation:**

Consider the provided function

Now, put

Width

So, the interval

Now, the value of midpoint of each sub interval is calculated as;

So, for subinterval

Similarly, for subinterval

For subinterval

for subinterval

For subinterval

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