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5sin3xdx=5cosx2sin2x54lncosx1cosx+1+C\int \frac{5}{\sin ^{3} x} d x=-\frac{5 \cos x}{2 \sin ^{2} x}-\frac{5}{4} \ln \left|\frac{\cos x-1}{\cos x+1}\right|+C

question 43

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5sin3xdx=5cosx2sin2x54lncosx1cosx+1+C\int \frac{5}{\sin ^{3} x} d x=-\frac{5 \cos x}{2 \sin ^{2} x}-\frac{5}{4} \ln \left|\frac{\cos x-1}{\cos x+1}\right|+C .

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