SET THE DEFINITE INTEGRAL THAT GIVES THE AREA OF THE REGION WORKSHEET

Set up a definite integral that yields the area of the region and evaluate.

Problem 1 :

f(x) = 3

set-up-definite-integral-q1

Solution

Problem 2 :

f(x) = 4 - |x|

set-up-definite-integral-q2.png

Solution

Problem 3 :

f(x) = x2

set-up-definite-integral-q3.png

Solution

Problem 4 :

f(x) = tan x

set-up-definite-integral-q4.png

Solution

Problem 5 :

f(x) = 4 - x2

set-up-definite-integral-q5.png

Solution

Problem 6 :

f(x) = 4 - 2x

set-up-definite-integral-q6.png

Solution

Answer Key

1) 15 square units

2)  16 square units

3)  8/3 square units

4)  1 square units

5)  32/3 square units

6)  4 square units

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