AP Calculus ABeasymcq1 pt

If 02f(x)dx=5\int_0^2 f(x)\,dx=5 and 25f(x)dx=3\int_2^5 f(x)\,dx=3, what is the value of 05f(x)dx\int_0^5 f(x)\,dx?

A.88
B.1515
C.22
D.2-2

Explanation

Core Concept

By additivity of intervals, 05f=02f+25f=5+3=8\int_0^5 f=\int_0^2 f+\int_2^5 f=5+3=8.

Correct Answer

A88

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