the average (mean) value of tan x on the interval from x = 0 to x = pi/3 is
This is just integral of tan x dx from 0 to pi/3, the whole thing divided by the interval length (which is pi/3).
This integral is ln|sec x|
Just plug in pi/3 & 0 into this expression, subtract the value at 0 from the value at pi/3, & divide by pi/3. This gives you the average value.
Copyright © 2024 QUIZLS.COM - All rights reserved.
Answers & Comments
Verified answer
This is just integral of tan x dx from 0 to pi/3, the whole thing divided by the interval length (which is pi/3).
This integral is ln|sec x|
Just plug in pi/3 & 0 into this expression, subtract the value at 0 from the value at pi/3, & divide by pi/3. This gives you the average value.