If the diagram is the graph of y = x2, the shaded area is
-
A.
64 square units -
B.
(frac{126}{4}) square units -
C.
32 square units -
D.
(frac{64}{3}) square units
Correct Answer: Option D
Explanation
A = (int^{x = 4}_{x = 0}) ydx = (int^{4}_{0}) x2dx = [(frac{x^3}{3} + c]^{4}_{0})
= (frac{64}{3}) square units