Set up the integral that gives the area of y=-x+10 and y=100-x². Select the correct choice below, and fill in the answer boxes within your choice.
A) ∫[0,10] (100-x² - (-x+10) ) dx
B) ∫[0,10] ((-x+10) - (100-x²) ) dx
C) ∫[0,10] ((-x+10) - (100-x²) ) dx + ∫[10,√100] ((-x+10) - (100-x²) ) dx
D) ∫[0,√100] ((-x+10) - (100-x²) ) dx