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Integration Problems

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1. Evaluate ∫ (e3x - 4 / ex) dx
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2. The mean value of a continuous function over a given range is defined as the integral of a function divided by the range.
b
Mean value of f(fx) from a to b = (1 / b - a) ∫ f(x)dx
a

Determine the mean value of the function 1 - e-t/T from t = 0 to t = T

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