Texts: Answer true or false. No explanation is necessary:
If f is continuous on [a, b], then ∫f(x) dx = ∫f(e)dz
If f is continuous on [a, b] and f(r) > 0, then ∫√f(r) dr = ∫f(r) dr
If f is continuous on [a, b], then ∫f(c) dx = 2∫f(x) dx
If f is continuous on [0,2] and ∫f(z) dz < 2, then f(0) = 0 for all 0 < x < 2
If F is an antiderivative of f, then f'(x) = F(c).
If f'(x) exists and is nonzero for all x, then ∫f(x) dx = f(x) + C
If f is a continuous function, then lim f'(x) = 0 as x approaches 4.
If oil leaks from a tank at a rate of r(t) gallons per minute at time t minutes, then ∫r(t) dt measures the total amount of oil leaked from the tank after 2 hours.