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In this video, we're going to go through the answer to question number 75 from chapter 8 .7.
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So it has to find the area of the region that lies between the curves, y equals sec x and y equals tan x from x to x equals pi by 2.
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So first let's draw this area.
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So we've got zero here and say pi by 2 here.
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Okay, so if this is 1, then, okay, let's think about what sec x is going to look like.
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It's going to start at 1.
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It's 1 over cos.
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So it's going to go something like this.
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That's sec x.
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And then tanx is going to go like this.
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So we're going to be looking for the region in red.
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So i've written what the area is going to be as an integral here.
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So given that we have this singularity that we're asymptosing towards...