1. Evaluate the following definite integrals:
a. 
dx
b. 
dx
c. 
dx
d. 
dx
e. 
dx
f. 
dx
2.Find the following shaded areas:
|
a.
|
b. |
| In parts, c and d, remember to find the two separate areas and add them together. | |
|
c.
|
d.
|
Sketch each of the functions below before finding the areas.
3. Find the area enclosed by the line y = 2x + 1, x = 1, x = 4 and the x-axis.
4. Find the area enclosed by the curve f(x) = x2 + 3, x = 2, x = -2 and the x-axis.
5. Find the area enclosed by the curve g(x) = x2 − 4, x = 0, x = 4 and the x-axis.
6. Find the area enclosed by the curve y = x(x − 3)(x − 5) and the x-axis between x = 0 and x = 5.
