What is the antiderivitive of 1/cosx?

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  • What is the antiderivitive of 1/cosx?


Answer #1 | 20/12 2013 08:14
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Positive: 64 %

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1. Proof. Strategy: The strategy is not obvious. Multiply and divide by (csc x + cot x); use Substitution.
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The solution to the integral of sin^2(x) requires you to recall principles of both trigonometry and calculus. Don't conclude that since the integral of sin ...
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Your second attempt is almost correct (you're missing a minus sign on the final answer...and its csc x, not cot x). There are two ways to go about this:
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Before going on to the derivative of sin x, however, we must prove a lemma; which is a preliminary, subsidiary theorem needed to prove a principle theorem.
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