Write the given (signed) area as an integral or sum of integrals. The area below the -axis and above

Question

Write the given (signed) area as an integral or sum of integrals. The area below the  -axis and above

Quizplus · Accepted Answer

The given area is the region below the x-axis and above the curve y = -x^2. Thus, we need to integrate -x^2 with respect to x between the limits of x = 0 and x = 1. 
∫(0 to 1) -x^2 dx = [-x^3/3] from 0 to 1 = -1/3
However, the area is negative because it is below the x-axis, so we take the absolute value to get 1/3. 
The answer in hexadecimal is 11eaa88b_91c6_da07_a696_f7ffeeb95a43_TB5869_11.

Write the Given (Signed) Area as an Integral or Sum