Draw the graph for cos[x] , and use integration from 0 to pie. After drawing the graph , see if you need to break up integration into two parts depending if the graph cuts the x-axis or not.
Why don't you work it out yourself? After all, it is your homework problem, is it not? If you just want to check your work, you could post your work...
I hope this isn't homework! I'ts very badly phrased if it is. The curve y= cos(x) doesn't "bound" any area and, since y is negative for x> [tex]
\frac{\pi}{2}[/tex], it's not clear what area you are talking about.
How about giving us more information about exactly what question you are asking. How did this problem come up?
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