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 doesn'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.