Answer
$ \frac{1}{4}(e^{9}-e^5 )$
Work Step by Step
We have $$ \int_2^3 e^{4t-3} dt= \frac{1}{4}\int_0^34e^{4t-3} dt = \frac{1}{4}\left[e^{4t-3}\right]_2^3= \frac{1}{4}(e^{9}-e^5 ) . $$
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