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Problem Which of the following is an antiderivative of e 2 x sin 2 x e^{2x}\sin 2x e 2 x sin 2 x e 2 x 4 ( cos 2 x − sin 2 x ) + C \dfrac{e^{2x}}{4}\bigl(\cos 2x-\sin 2x\bigr)+C 4 e 2 x ( cos 2 x − sin 2 x ) + C e 2 x 4 ( sin 2 x + cos 2 x ) + C \dfrac{e^{2x}}{4}\bigl(\sin 2x+\cos 2x\bigr)+C 4 e 2 x ( sin 2 x + cos 2 x ) + C e 2 x 4 ( sin 2 x − cos 2 x ) + C \dfrac{e^{2x}}{4}\bigl(\sin 2x-\cos 2x\bigr)+C 4 e 2 x ( sin 2 x − cos 2 x ) + C e 2 x 2 ( sin 2 x − cos 2 x ) + C \dfrac{e^{2x}}{2}\bigl(\sin 2x-\cos 2x\bigr)+C 2 e 2 x ( sin 2 x − cos 2 x ) + C Browse the problem library