Question

another double integral D:

Answer 1

LETS DO THIS!

Answer 2

\[double \int\limits 1/(lnx )\] dx dy when e^y <x < 2 and 0 < y < ln2
sorry idk how to type it properly lololo :(

Answer 3

\[\int\limits_{e^y}^{2} \frac{1}{\ln(x)} dx \]???

Answer 4

yeah! and on the outside \[\int\limits_{0}^{\ln2} \] !!!

Answer 5

so lets solve the first part first. What is the integral of 1/ln(x)

Answer 6

ln(lnx) ?

Answer 7

ah, it's \[\iint_R \frac{1}{\ln x} dA\] over the region \[e^y<x<2, 0<y<\ln 2\]

Answer 8

yes!!

Answer 9

R what? I'm konfused... I guess I will learn something now.

Answer 10

what is that ?

Answer 11

\[\Large \iint_R\frac{1}{\ln x} \mathrm dA=\int_{x_L}^{x_R}\int_{y_B}^{y_T}\frac{1}{\ln x} \mathrm dy \mathrm dx\]