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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 6.1, Problem 28E

To determine

**To estimate:** The area of cross section of airplane wing

Expert Solution

The area of cross section of airplane wing is

**Given information:**

The thickness is measured each 20 cm interval.

The general expression for Midpoint Rule is shown below:

The interval width is

The midpoint is

Here, width of the subinterval is *b*, the lower limit is *a*, the number of subinterval is *n*, and the midpoint of

**Calculation:**

Find the width of the subinterval

Consider the number of subintervals as 5.

Substitute 5 for *n*, 200 cm for *b*, and 0 for *a* in Equation (1).

Let the distance from the left end of the wing be *x*.

The height of the wing at *x* is

The expression to find the area of the pool for the width

Here, the height of the wing at distance

The end points of the distance intervals are 0, 40 cm, 80 cm, 120 cm, 160 cm, and 200 cm.

The midpoints of the intervals are 20 cm, 60 cm, 100 cm, 140 cm, and 180 cm.

Substitute 40 cm for

Substitute 20.3 cm for

Therefore, the area of cross section of airplane wing is