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Does This Integral \int cosx(3sinx+1)2\frac { \cos x } { ( 3 \sin x + 1 ) ^ { 2 } }

Question 89

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Does this integral \int cosx(3sinx+1)2\frac { \cos x } { ( 3 \sin x + 1 ) ^ { 2 } } dx = 13(3sinx+1)\frac { 1 } { 3 ( 3 \sin x + 1 ) } + C?

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