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Numerade Educator



Problem 45 Medium Difficulty

Sketch the region and find its area (if the area is finite).

$ S = \{ (x, y) \mid 0 \le x < \frac{\pi}{2}, 0 \le y \le \sec^2 x \} $


infinite area


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Video Transcript

some problem is sketch the region and find its area. Look at the graph here. Area is under region is under this curve between zero and pi over too. But then use integral from zero to high over too. And the function this weekend I'm square. Yes, denoted area. Alas, this is a cropper. Integral. A definition. This's equal. Choose limit. He goes to hi over too. And integral from zero to t second ex Claire. Yes. Now we computed Daphne. Dont grow first. This death needing to grow is equal to I can't x from zero to t. This is Nico. Tio kind. Hey, my hand is zero the pendant zero zero. So this is called having tea. So one he goes to pie over too. Hannity goes to infinity so this region area is infinite.