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logarithmic and exponential functions - area help (1 Viewer)
- Thread starter kaha167
- Start date
I'll assume that you mean the area between y=2, y=4, the curve and the y axis...find the area between: y = ln x, y = 2 and y = 4. the answer is 47.2 units^2.
I can get nowhere near this number..
can anyone possible help me?
Greatly appreciated.
y=lnx
e^y=x
Required area =
hscishard
Active Member
One way of doing is noticing that y= Inx is a slanted version of y=e^x. Inverse or something like that.find the area between: y = ln x, y = 2 and y = 4. the answer is 47.2 units^2.
I can get nowhere near this number..
can anyone possible help me?
Greatly appreciated.
Intergrating e^y is e^y
Then solve the definite integral using the bounds 4 and 2
hscishard
Active Member
Ooo rearranging.I'll assume that you mean the area between y=2, y=4, the curve and the y axis...
y=lnx
e^y=x
Required area =
units^2
Aquawhite
Retiring
You can only invert it to the exponential (e) because the log is in the natural base, e, such that it is lnx. If it weren't this way (although I highly doubt you would get this), you wouldn't be able to do it.
Or you could've done Area rectangle - integral... but that'd require knowledge of integration by parts...