Let $\int_{0}^{8} f(x) d x=C$ .If f(x)is even, what is $\int_{-8}^{8} f(x) d x$ ?
A) $C$
B) $8 C$
C) $16 C$
D) $2 C$
E)0

Name: Let $\int_{0}^{8} f(x) d x=C$ .If f(x)is even, what is $\int_{-8}^{8} f(x) d x$ ? A) $C$ B) $8 C$ C) $16 C$ D) $2 C$ E)0
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Question

Quizplus · Accepted Answer

Since $f(x)$ is an even function, the integral from $-8$ to $0$ of $f(x) dx$ is equal to the integral from $0$ to $8$ of $f(x) dx$, which is $C$. Therefore, the integral from $-8$ to $8$ is $C + C = 2C$.

Let ∫08f(x)dx=C\int_{0}^{8} f(x) d x=C∫08​f(x)dx=C If F(x)is Even, What Is ∫−88f(x)dx\int_{-8}^{8} f(x) d x∫−88​f(x)dx

Let $\int_{0}^{8} f(x) d x=C$ If F(x)is Even, What Is $\int_{-8}^{8} f(x) d x$