(1) Recall that:
So:
(2) To integrate, use integration by parts:
See if you can carry on from there.
The integral of
e^x / e^2x + 1 from upper limit:infinite and lower limit:0
So for I have the antderirive as:
this after changin the integration limits to a limit
limit t--> (arctan(e^x)) from b=infinte and a=0
and also this one
the integral of
ln(x)/x^2 from upper limit=b=infinte and lower limit=a=1 not sure how to start this one at all!
Okay so am guessing my first part was correct, now I have to evaulate the integral as it approces infinite, I have one more question this is my weakness. am not sure how to exactly evaulte limits so for in my case:
lim
t-->arctan(e^x)=limt --> infinite (arctan(e^t) - arctan(o))
=lim
t->infinte (arctan(e^t) -0))
=lim t-->infinte (arctan(e^t))=pi/2 ?? i think am write lol that ws great help am gonna work on the other one now ! thanks!BANKAI