Kenneth S. answered • 11/19/17

Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018

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•10

^{2}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