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MAT 210 Quiz 12 Name ________________________________

Each problem is worth 2 points. Class Time ______________

For the following problem, find the exact value. (no calculator approximations)

1) Find the total area of the region(s) between f(x) = x2 – 9x – 22

and the x-axis from x = -3 to x = 1.

2) Find the total area of the region(s) between [pic]

and the x-axis from x = 1 to x = e.

Use your calculator to answer the following problem. Round to 3 decimal places.

3) Find the total area of the region(s) between [pic]

and the x-axis from x = –1 to x = 2.

Use integration by parts to evaluate the following integrals.

4) [pic]

5) [pic]

6) [pic] hint: rewrite the problem in another way before starting.

The following integrals are just for “Excitement!” (Whoooooo-Hooooo!!!)

[pic]

[pic]

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