AP Calculus ABeasymcq1 pt

Let f(x)=1f(x)=1 for 0x<10\le x<1 and f(x)=2f(x)=2 for 1x21\le x\le 2. What is the value of 02f(x)dx\int_0^2 f(x)\,dx?

A.22
B.44
C.The integral does not exist
D.33

Explanation

Core Concept

The integral splits as 011dx+122dx=1+2=3\int_0^1 1\,dx+\int_1^2 2\,dx=1+2=3.

Correct Answer

D33

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