Chapter 14.4B, Problem 8GCE

To determine

To find the area of the region bounded by the curve, the x-axis and the vertical lines $x=-20$ and $x=20$ by changing the window size from $x\min =-47$ to $x\max =47$

Answer to Problem 8GCE

  $0.8$

Explanation of Solution

Given:

Enter $2nd$ [Draw] causes the shading of the region.

The function is $f(x)=\frac{1}{\sqrt{2\pi }}{e}^{\frac{-x^2}{2}}$

Calculation:

Step -1: To find the area of the region bounded by the curve, x-axis and the vertical lines $x=-20$ and $x=20$ , go to the CALC menu and select $7:{\displaystyle \int f(x)dx}$ and then press ENTER.

The following is the area of the shaded region-

  

The area bounded by the curve is $\frac{1}{2}\times 4\times 0.4=0.8$ Square unit.

It is not exact, it is almost equal to the approximate value.