Kenneth S. answered • 11/19/17
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This ∫10−10|x|dx∫−1010|x|dx
needs some parenthesization and other editing to make it correct.
Is it supposed to be this:
∫(10−10|x|) dx ?
Kenneth S.
I think that this must be a definite integral with lower limit -10 and the upper limit 10, and the integrand is simply |x|.
The integrand function is V-shaped passing through the origin and it's the line y=x in the first quadrant, and the line y = -x in the second quadrant. Therefore the definite integral is two times the area of the triangle in the first quadrant bounded above by y=x and below by the x-axis.
This triangle's area is ½•102 and so the definite integral from -10 to 10 of |x| must be 100 sq units.
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11/20/17
Marlena B.
11/19/17