Use the graph below and the integrals: Integrate limit between -1 to 0 f(x) dx =

Question

Use the graph below and the integrals: Integrate limit between -1 to 0 f(x) dx = -2, Integrate limit between 0 to 2 f(x) dx = 4, and Integrate limit between 2 to 4 f(x) dx = -36; to find the area of the region bounded between the graph off and the X-axis from x = -1 to x = 4. a) -34 b) 42 c) 37 d) 49 e) 34 Use the graph below and the integrals: Integrate limit between -1 to 0 f(x) dx = -2, Integrate limit between 0 to 2 f(x) dx = 4, and Integrate limit between 2 to 4 f(x) dx = -36; to find the area of the region bounded between the graph off and the X-axis from x = -1 to x = 4. a) -34 b) 42 c) 37 d) 49 e) 34

Explanation / Answer

Area of each individual region must be positive

So, we will take the absolute value of each of the integrals to get the area of each region

Area between x = -1 to x = 0 ----> +2
Area between x = 0 to x = 2 ---> +4
Area between x = 2 to x = 4 ---> +36

Total area = 2 + 4 + 36 ---> 42

Option B

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