Integral of a function is always a positive quantity.

Determine whether each of the following statements is true or false, and explain why.   The definite integral of a function is always a positive quantity. The area between two distinct curves is always a positive quantity. The consumers' surplus and the producers' surplus equal each other. In the trapezoidal rule, the number of subintervals must be even. Simpson's rule usually gives a better approximation than the trapezoidal rule