Question

Area bounded by y = g(x), x-axis and the lines x = -2, x = 3, where g(x) = {(maxi:{f(t); - 2 ≤ t ≤ x}, - 2 ≤ x < 0), (mini:{f(t); 0 ≤ t ≤ x}, 0 ≤ x < 3) and f(x) = x² - |x|, is equal to

(A) 113/24 sq. units

(B) 111/24 sq. units

(C) 117/24 sq. units

(D) 121/24 sq. units

Answer 1

Answer is (A) 113/24 sq. units

See Fig.

Clearly