Question

integral of 7/ (e^t)^7
Okey this is how I broke it down:

Answer 1

\[u = e^{7t} wich gives du = 7e^{7t}\]
\[\frac{ du }{ dt } = 7e^{7t} which gives \frac{ du }{e ^{7t} } = 7 dt\]
and then \[\int\limits_{}^{} \frac{ 1 }{ e^{7t} } * 7\] can be replaced with
\[\int\limits_{}^{} \frac{ 1 }{ u } * \frac{ du }{ e^{7t} }\]

Answer 2

So far is it right? if not the rest is probably wrong and I should wait for this to clear up.

Answer 3

\[\int\limits_{}^{} \frac{ 7 }{ (e^{t})^7 }\] is the integral to make it clear.

Answer 4

7/(e^t)^7=7/e^7t
=7e^(-7t)

Answer 5

So you can just integrate directly

Answer 6

you can see my file....

Answer 7

if you integrate 7e^(-7t) you will get -e^(-7t)+C

Answer 8

right...

Answer 9

-e^-7t + c is the correct answer. song6 I couldn't quite follow your equation.

Answer 10

alright with dominics way it was very easy since I could avoid all the steps, alright, thanx to both for the help and time:) closing the thread now.