1.

\[\int_{{}}^{{}}{\frac{\sin x\ dx}{{{a}^{2}}+{{b}^{2}}{{\cos }^{2}}x}}=\]

A. \[\log ({{a}^{2}}+{{b}^{2}}{{\cos }^{2}}x)+c\]
B. \[\frac{1}{ab}{{\tan }^{-1}}\left( \frac{a\cos x}{b} \right)+c\]
C. \[\frac{1}{ab}{{\cot }^{-1}}\left( \frac{b\cos x}{a} \right)+c\]
D. \[\frac{1}{ab}{{\cot }^{-1}}\left( \frac{a\cos x}{b} \right)+c\]
Answer» D. \[\frac{1}{ab}{{\cot }^{-1}}\left( \frac{a\cos x}{b} \right)+c\]


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