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Integral of (sin(2x) + cos(2x)) dx=

User Vincent Saluzzo
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\displaystyle \int (\sin 2x + \cos 2x)~ dx\\\\=\displaystyle \int \sin 2x ~dx + \displaystyle \int \cos 2x ~ dx\\\\=-\frac{\cos 2x}2 + \frac{\sin 2x}2 +C\\\\=\frac{\sin 2x - \cos 2x}2+C

User Matteo Enna
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