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integrate (e^t + e^-t)²
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(e^t + e^-t)²
= e^2t + 2 + e^-2t
integral (e^t + e^-t)² dx
= integral e^2t + 2 + e^-2t dx
= (1/2) e^2t + 2t - (1/2)e^-2t + c
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