∫tan x dx is equal to:
∫tan x dx is equal to:
- A. ln|sec x| + C
- B. ln|sin x| + C
- C. −ln|cos x| + C
- D. Both 0 and 2
Answer: D) Both 0 and 2
Explanation: tan x = sin x/cos x. Let u = cos x, du = −sin x dx. Integral becomes −∫du/u = −ln|u| + C = −ln|cos x| + C = ln|sec x| + C. Both forms are equivalent.
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