AP Calculus ABmediummcq1 pt

Let f(x)=3f(x)=3 for 0x<20\le x<2 and f(x)=7f(x)=7 for 2x52\le x\le 5. What is the value of 05f(x)dx\int_0^5 f(x)\,dx?

A.2727
B.2121
C.66
D.1010

Explanation

Core Concept

Split at the jump: 023dx+257dx=3(2)+7(3)=6+21=27\int_0^2 3\,dx+\int_2^5 7\,dx=3(2)+7(3)=6+21=27.

Correct Answer

A2727

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