Answer
$ 0.8009$
Work Step by Step
The area of under $y=f(x)$ over an interval $[m,n]$ about the x-axis is given by:
$Area, A= \int_{-0.74}^{0.74} (\cos x - |x| ) \ dx \\ = 2 \int_{0}^{0.74} (\cos x - x) \ dx \\=2[\sin x]_{0}^{0.74} -[x^2]_{0}^{0.74} $
Now, we will use a graphing calculator to obtain the approximate value of the area.
So, $Area, A \approx 0.8009$
