Question

Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the given interval. (Round your answer to four decimal places. Enter your answers as a comma-separated list.) (See attachment)

c = ?

Answer 1

Explanation:

f'(x)=-sin x

`f'(x)=(cos (\pi )/(3) -cos ((-\pi )/(3)) )/((\pi )/(3) -((-\pi )/(3)) ) \\-sin x=((1)/(2) -(1)/(2) )/((\pi )/(3) +(\pi )/(3) ) \\sin x=0\\at x=c ,sin c=0,c=0`

c=0∈(-π/3,π/3)