Let $\int_{0}^{10} f(x) d x=C$ .What is the average value of f(x)on the interval x = 0 to x = 10?
A) $10 C$
B)C
C) $\frac{C}{10}$
D)0

Question

Quizplus · Accepted Answer

The average value of a function $f(x)$ over the interval $[a, b]$ is given by $\frac{1}{b-a} \int_{a}^{b} f(x) dx$. Here, $a=0$, $b=10$, and $\int_{0}^{10} f(x) dx = C$, so the average value is $\frac{1}{10-0} \cdot C = \frac{C}{10}$.

Let ∫010f(x)dx=C\int_{0}^{10} f(x) d x=C∫010​f(x)dx=C What Is the Average Value of F(x)on the Interval X

Let $\int_{0}^{10} f(x) d x=C$ What Is the Average Value of F(x)on the Interval X