AP Calculus ABeasymcq1 pt

Which of the following equals 31f(x)dx\int_3^1 f(x)\,dx?

A.13f(x)dx-\int_1^3 f(x)\,dx
B.13f(x)dx\int_1^3 f(x)\,dx
C.00
D.f(1)f(3)f(1)-f(3)

Explanation

Core Concept

Reversing the limits of integration changes the sign, so 31f(x)dx=13f(x)dx\int_3^1 f(x)\,dx=-\int_1^3 f(x)\,dx.

Correct Answer

A13f(x)dx-\int_1^3 f(x)\,dx

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