Problem

Find possible values of a and b that make the statement true.
33f(x)dx+38f(x)dxabf(x)dx=18f(x)dx(a,b)=()

Answer

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Answer

Final Answer: The possible values of a and b that make the statement true are (3,1).

Steps

Step 1 :The integral of a function from a to b is the area under the curve of the function from a to b. The integral from -3 to 3 plus the integral from 3 to 8 is the area under the curve from -3 to 8. The integral from -1 to 8 is the area under the curve from -1 to 8. The difference between these two areas is the area under the curve from -3 to -1. Therefore, the integral from a to b must be the integral from -3 to -1. So, a = -3 and b = -1.

Step 2 :Final Answer: The possible values of a and b that make the statement true are (3,1).

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