Mathematics

The diagram above is the graph of y = x2, the shaded area is

The diagram above is the graph of y = x2, the shaded area is
  • A.
    64 square units
  • B.128/3 square units
  • C.64/3 square units
  • D.
    32 square units
Correct Answer: Option C
Explanation

(int_0 ^4 x^2 dx = left[frac{1}{3}x^2+Cright]_0 ^4\
=frac{1}{3}times 4^3 – frac{1}{3}times 0^3\
=frac{64}{3}-0\
=frac{64}{3})sq units