2023 MIT Integration Bee: Regular Season Q10

2023 MIT Integration Bee: Regular Season Q10

IP 4

Find \(\int \frac{\sin 2x \cos 3x}{\sin^{2} x \cos^{3} x} dx.\)

Solution:

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Answer:\(8\ln|\sin x|-6\ln|\tan x|+C\), on each interval where \(\sin x\cos x\ne0\).

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