Question
Average Value of a Function In Exercises 93 and $94,$ find the average value of the function over the given interval. $$f(x)=\frac{1}{1+x^{2}}, \quad-3 \leq x \leq 3$$
Step 1
Step 1: The average value of a function $f(x)$ over the interval $[a, b]$ is given by the formula: $$ \frac{1}{b-a}\int_{a}^{b}f(x)dx $$ In this case, $f(x) = \frac{1}{1+x^{2}}$, $a = -3$, and $b = 3$. Show more…
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