Evaluate the following as true or false. The approximate value of a definite integral that is obtained using the trapezoidal rule will always be greater than the exact value of the same definite integral.
a. True
b. False
False. Let f(x) be an integrable function that is concave on an interval [a, b] in its domain. "Concave" here means that the secant line drawn from (a, f(a)) to (b, f(b)) lies below the graph of f(x).