# What is the average value of the function #f(x) = sec x tan x# on the interval #[0,pi/4]#?

It is

So the value we seek is

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To find the average value of the function ( f(x) = \sec(x) \tan(x) ) on the interval ([0, \frac{\pi}{4}]), follow these steps:

- Calculate the definite integral of the function ( f(x) ) over the given interval.
- Divide the result from step 1 by the length of the interval ([0, \frac{\pi}{4}]).
- The result obtained in step 2 is the average value of the function over the interval.

This process gives the average value of the function ( f(x) = \sec(x) \tan(x) ) on the interval ([0, \frac{\pi}{4}]).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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