Question

Calc question

Answer 1

\[\frac{ e^{u} }{ (8-e^{u})^{2}}du\]
anti derivative? what to sub?

Answer 2

try to think and then we'll explore your ideas

Answer 3

integration is about exploring methods

Answer 4

well I wanna sub \[(8-e^{u})\] for lets say x? but should I include the ^2?

Answer 5

that's a good idea... no do not include ^2
try to use a different letter

Answer 6

but x is okay :)

Answer 7

I was going to use u, but thats already in the equation

Answer 8

\[\int\limits \frac{e^u}{(8-e^u)^2}du \rightarrow x=8-e^u, dx= -e^u\]

Answer 9

\[= \int\limits \frac{1}{x^2}dx\]

Answer 10

you can use s or anything really

Answer 11

just make sure not to forget to switch it back though LAUGHING OUT LOUD

Answer 12

ok so now I take the anti derivative of \[\frac{1}{x^{2}}\]
which will be
what \[-\frac{1}{x}\]

Answer 13

CORRECT. I think you can do the rest from where I left off
ciao

Answer 14

that you! =)