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PCAT Quantitative Reasoning – Area Under the Curve Between x = 1 and x = 5

Find the area under the curve for the function f(x) = x2 – 3x – 1 between x = 1 and x = 5.

A. 8/3
B. 3
C. 16/3
D. 8

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C is correct. This problem is asking for the definite integral of the function given. First, we will need to find the antiderivative. Remember to add the integration constant C:

Next, let’s plug in x = 5 and then subtract the result when x = 1:

PCAT Find the Curve

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