Find the area of the region bounded by the graph of the function and the lines , , and .

Question

Find the area of the region bounded by the graph of the function  and the lines  ,  , and  .

Quizplus · Accepted Answer

We first need to find the x-coordinates of the intersection points between the given lines:

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Next, we need to find the area of the region bounded by the function and these lines. Since the function is below the x-axis, we need to take the absolute value to find the area.

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Integrating the function using the limits of integration found earlier, we get:

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Therefore, the answer is B.

Find the Area of the Region Bounded by the Graph