Math 152 WIR 7.5, 8.1, 8.2

7.5 Average Value

1. a) A trapezoid has vertices (-2, 0), (2, 0), (1, 3), and (-1, 3). If f(x) is the piecewise linear function forming the top and sides, find the average value of f(x) over the interval [-2, 2].

b) f(x) is the line segment from (0, 8) to (5, -2). Find the average value of f(x) over the interval [0, 5].

2. Find the average y-value on the semicircle .

3. Find the average value of each function on the given interval.

8.1 Integration by Parts

4. Find each indefinite integral

8.2 Trigonometric Integrals

5. Find each integral