# Average values

1. Mar 11, 2007

### softballqt815

1. The problem statement, all variables and given/known data
The average value of sec (squared) x over the interval 0 is less than or equal to x which is less than or equal to pie divided by 4. What is the antiderivative of sec (squared) x?

2. Relevant equations

3. The attempt at a solution

average value is f(x)dx of (a,b) over b-a. In order to find the area under the curve, the antiderivate of sec (squared) x must be found, and then can be carried out as F(b)-F(a)

2. Mar 12, 2007

### Gib Z

What is $\frac{d}{dx} \tan x$?