The value of the definite integral $\int _ { - 2 } ^ { 2 } \ln e d x$ is

A)2
B) $\frac { 4 } { e }$
C)ln 4
D) $\ln 2 - \ln \frac { 1 } { 2 }$
E)4

Name: The value of the definite integral $\int _ { - 2 } ^ { 2 } \ln e d x$ is A)2 B) $\frac { 4 } { e }$ C)ln 4 D) $\ln 2 - \ln \frac { 1 } { 2 }$ E)4
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Question

The value of the definite integral $\int _ { - 2 } ^ { 2 } \ln e d x$ is

A)2
B) $\frac { 4 } { e }$
C)ln 4
D) $\ln 2 - \ln \frac { 1 } { 2 }$
E)4

Quizplus · Accepted Answer

The integral of a constant ($\ln e = 1$) over an interval is equal to the constant times the length of the interval. Here, the interval length is $2 - (-2) = 4$, so the integral equals $1 \times 4 = 4$.

The Value of the Definite Integral ∫−22ln⁡edx\int _ { - 2 } ^ { 2 } \ln e d x∫−22​lnedx

The Value of the Definite Integral $\int _ { - 2 } ^ { 2 } \ln e d x$