Mathematics Homework Help

I need an explanation for this Calculus question to help me study.

1. The definite integral of a function is always a positive quantity.
2. The area between two distinct curves is always a positive quantity.
3. The consumers’ surplus and the producers’ surplus equal each other.
4. In the trapezoidal rule, the number of subintervals must be even.
5. Simpson’s rule usually gives a better approximation than the trapezoidal rule