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airesex2 2022-04-30 Answered
What is 7 8  e 2 t 1 d t?
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Answers (1)

drenkttj9
Answered 2022-05-01 Author has 20 answers
Let u=2t-1. Then du=2dt, so 1 2 d u = d t. Rewrite using u and du.
7 8 e u 1 2 d u
Simplify.
7 e u 16 d u
Since 7 16 is constant with respect to u, move 7 16 out of the integral.
7 16 e u d u
The integral of e u with respect to u is e u
7 16 ( e u + C )
Simplify.
7 16 e u + C
Replace all occurrences of u with 2t-1.
7 16 e 2 t 1 + C
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