Problem: Let K be the measure of the area bounded by the x-axis, the line x=8, and the curve defined by f={(x,y)∣y=x when 0≦x≦5,y=2x−5 when 5≦x≦8}. Then K is:
Answer Choices:
A. 21.5
B. 36.4
C. 36.5
D. 44
E. less than 44 but arbitrarily close to it
Solution:
The total area consists of the triangular region OAD and the trapezoidal region ABCD.
∴K=21​(5)(5)+21​(3)(5+11)=36.5
