∫ e^(2x+e^(2x))dx?
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∫ e^[2x+e^(2x)] dx = ∫ e^(2x) e^[e^(2x)] dx = (1/2) ∫ [2e^(2x)] e^[e^(2x)] dx = (1/2) ∫ e^[e^(2x)] d[e^(2x)] = (1/2) e^[e^(2x)] + C
∫ e^[2x+e^(2x)] dx = ∫ e^(2x) e^[e^(2x)] dx = (1/2) ∫ [2e^(2x)] e^[e^(2x)] dx = (1/2) ∫ e^[e^(2x)] d[e^(2x)] = (1/2) e^[e^(2x)] + C
∫ e^[2x+e^(2x)] dx = ∫ e^(2x) e^[e^(2x)] dx = (1/2) ∫ [2e^(2x)] e^[e^(2x)] dx = (1/2) ∫ e^[e^(2x)] d[e^(2x)] = (1/2) e^[e^(2x)] + C
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