Question

Find the area of the region enclosed by the curves and the y axis
y=e^x+5
y=9

Answer 1

ooh and the \(y\) axis!!!

Answer 2

first need limits of integration
\(y\) axis is \(x=0\) then solve \[e^x+5=9\]
\[e^x=4\]
\[x=\ln(4)\]

Answer 3

yeah wich gave me 0 and 1.2 but i still couldnt find the right answer ;/

Answer 4

or i was guessing that the limits were 0 and 1.2.. i am probably not right though

Answer 5

\[\int _0^{\ln(4)}(9-e^x+5)dx\]
\[\int_0^{\ln(4)}(4-e^x)dx\] etc

Answer 6

gotta run. twilight zone
you can do this integral
mimi will help

Answer 7

yaaayyyy that was right thank you so much!