Is the Area of y=1/cos^2x Divergent?

[yaho8888]

Homework Statement

Find the area of y= \frac{1}{\cos^2 x} from x=0 to x = \frac{\pi}{2}.

2. The attempt at a solution


\int \frac{1}{\cos^2 x} from 0 to \frac{\pi}{2}.
equals \tan x
and take the limit from the negative side of \frac{\pi}{2}.
since limit of tan at \frac{\pi}{2} is \infty
the funtion is divergent.
so the area dosen't exist.

 

[yaho8888]

I was wondering why no one answer this forum, you only have to check if I am right( yes or no).

 

[neutrino]

The integral is divergent.

 

[learningphysics]

Yes, you are right.