Thread: Calculus

The average value of cos x on the interval [–3, 5] is

A) (sin 5 – sin 3)/8

B) (sin 5 – sin 3)/2

C) (sin 3 – sin 5)/2

D) (sin 3 + sin 5)/2

E) (sin 3 + sin 5)/8

Originally Posted by frozenflames

The average value of cos x on the interval [–3, 5] is

A) (sin 5 – sin 3)/8

B) (sin 5 – sin 3)/2

C) (sin 3 – sin 5)/2

D) (sin 3 + sin 5)/2

E) (sin 3 + sin 5)/8

First find the definite integral,

Which is by the fundamental theorem,

Now divide by the length of the interval which is,

Thus, the answer is,