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On an interval where cos x is nonzero, which function integrates tan x?
A−ln|sec x| + C
Bln|sin x| + C
Csec²x + C
Dln|sec x| + C
Answer & Solution
Correct answer: D. ln|sec x| + C
Writing tan x as sin x/cos x and putting u = cos x gives −ln|cos x|, which equals ln|sec x|.
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