152 HW3-w20 (1).pdf - Math 15200: Homework 3 Due Wednesday,...

Math 15200: Homework 3
Due Wednesday, January 29
The following three problems will be graded out of a possible five points each.
1. Let A , B , and n ≥ 1 be constants. Evaluate
Z
x
n - 1
√
A + Bx n dx.
2. Let f be a continuous function and let c be a constant. Show that
Z
b + c
a + c
f ( x - c ) dx =
Z
b
a
f ( x ) dx.
3. Suppose that f is a continuous function on [ a, b ] and that
Z
b
a
f ( x ) dx = 0 .
Are the following statements true or false?