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∫01x2cosxsinx dx \large \int_0^1 x^2 \cos x \sin x \, dx ∫01x2cosxsinxdx
If the integral above is in the form of
−A+BsinC−DcosCE, \dfrac {-A + B\sin C - D\cos C}E , E−A+BsinC−DcosC,
where A,B,C,DA,B,C,DA,B,C,D and EEE are positive integers, find the minimum value of A+B+C+D+EA+B+C+D+EA+B+C+D+E.
Clarification: Angles are measured in radians.
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