Calculus for Computer Science

250 words for Question 1 – Compare finding the average values over intervals of regular functions and trigonometric functions. What are the similarities and what are the differences if any.

250 words for Question 2 – Given that f(x) is a probability density function in the interval [a, b], what do you think the value of f(x) for any x between c and d means (assume that c > a and d < b)? Would its value have any impact on the probability that x lies in the interval [c, d]?