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What is the antiderivative of sin x divided by 1 + cos x?

Atan(x/2) + C
B−ln(1 + cos x) + C
Cln(1 + sin x) + C
Dln(1 + cos x) + C
Answer & Solution
Correct answer: B. −ln(1 + cos x) + C
Putting u = 1 + cos x gives du = −sin x dx, so the integral is −ln|u|.
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