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Average values

  • #1

Homework Statement


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?

Homework Equations





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)
 

Answers and Replies

  • #2
Gib Z
Homework Helper
3,346
5
What is the antiderivative of sec (squared) x?


What is [itex]\frac{d}{dx} \tan x[/itex]?
 

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