Question

Find the average value fave of the function f on the given interval. RO) = 8 sec (0/6), (0, 32] fave = Fee

Answer 1

We evaluate the average value of the given function by using definite integral.

Now . We know that evanage value of the function yot(o) over the interval [a, b ] is given by bra fºfo de. Given function f(0) = 8 sec () , [, 351] There fore average value of the function f (0) Oven the interval [0, 99] 2o Jo 8 sec (9) do Now at wala asar (%) do CP) 5 4 samma) de emo) do = rondloc) 1.2.0) (ton (%)]. che 6) [tan coa)]. 3 [tan ( 20 ) - tam (o)] * 34 ton(++) - tances] = tan ( ) -o] = 32 ( tan II , 34 ( 1) = 3 V m 2 3 32 Therebro, fove Therefore,