As mentioned in Example 4, the equation of the standard normal curve is

Use the method in Example 4 (with five terms of the Taylor series) to approximate the area of the region bounded by the normal curve, the x-axis, x = 0, and the values of x in Exercises.

x = 0.4

Example 4

The standard normal curve of statistics is given by

Find the area bounded by this curve and the lines x = 0, x = 1, and the x-axis.

f(x) 1 2TT -x/12