Question

The average value of cosx on the interval [-3, 5] is

Answer 1

Answer:

\frac{1}{8} (sin 5+sin 3)

Step-by-step explanation:

step 1:-

average value of given function =$\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx$

[$\frac{1}{8}(sin 5-(sin(-3)) \\\\\frac{1}{8} (sin 5+sin 3)$

Final answer:-

\frac{1}{8} (sin 5+sin 3)