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Substituting u = sin x in cos x/(1 + sin²x) gives which result?
Atan⁻¹(sin x) + C
Bln(1 + sin²x) + C
Ctan⁻¹(cos x) + C
D(1/2) ln(1 + sin²x) + C
Answer & Solution
Correct answer: A. tan⁻¹(sin x) + C
Putting u = sin x gives du = cos x dx and the integral ∫du/(1 + u²) = tan⁻¹u.
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