Consider the region bounded by the x-axis, and write, but do not evaluate, an integral equation that will find the value of x so that x divides the region into two parts of equal area.
a) ∫[0, x] f(x) dx = ∫[x, a] f(x) dx
b) ∫[0, a] f(x) dx = ∫[a, 2a] f(x) dx
c) ∫[0, a] f(x) dx = 1/2
d) ∫[0, a] f(x) dx = ∫[a, b] f(x) dx