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Numerade Educator

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Problem 17 Easy Difficulty

Find the most general antiderivative of the function.
(Check your answers by differentiation.)

$ h(\theta) = 2\sin\theta - \sec^{2}\theta $

Answer

$H(\theta)=-2 \cos \theta-\tan \theta+C$ on interval $\left(n \pi-\frac{\pi}{2}, n \pi+\frac{\pi}{2}\right)$

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Video Transcript

Okay, so we're being asked to find emotional anti derivative of the function. Eight of data you could to Sunday the money sequence for data. So we take the intra go of two sign data minus seconds squared data and D data. And I was going to break this interval up and to to sign data minus in Tegel Second Square, their data data. And so the two comes out. That's a constant. So their team comes out and then you intrigue or find their, well, thatjust negative coast on data that was going to mind it too. Coze on data and in the interview of Seeking Square, There will. That's just tangent data and these air. Thank you for that. That really you should probably memorize for the sake of simplicity, to make it a lot easier to do these. I took it a metric function, one so and then it's only plus C. And so this is our mantra. As you can see, that made it a lot more simpler