Question

Determine the possible value of the definite integral: function to follow

Answer 1

where :) ?

Answer 2

where there is will there is way :P

Answer 3

sorry guys internet slow, see attached, thanks

Answer 4

i think we might use sub here: something like\[u=\ln t\]

Answer 5

and we must treat \[\log w\]like a constant...because we integrate with respect to t

Answer 6

sorry\[\log_2 w\]

Answer 7

ok...

Answer 8

plz let me know what u get

Answer 9

i'm a bit stuck there

Answer 10

where?

Answer 11

\[\int_{e}^{e^2} \frac{\ln(\ln(t))}{t \ \log_2 w} \text{d}t=\frac{1}{ \log_2 w}\int_{e}^{e^2} \frac{\ln(\ln(t))}{t} \text{d}t\]\[u=\ln t\]\[\text{d}u=\frac{\text{d}t}{t}\]so the integral becomes (note that bounds will change also)\[\frac{1}{ \log_2 w}\int_{1}^{2} \ln(u) \ \text{d}u\]integration by parts will work for last step

Answer 12

thanks, connection was lost again so i have to logout. I should be able to cope from here..

Answer 13

:)