\int_{0}^{\frac{\pi }{4}}xsec^{2}x dx using substitution u= 1 +lnx
kaz1 et tu Joined Mar 6, 2007 Messages 6,960 Location Vespucci Beach Gender Undisclosed HSC 2009 Uni Grad 2018 Oct 2, 2009 #1 using substitution u= 1 +lnx
Trebla Administrator Administrator Joined Feb 16, 2005 Messages 8,393 Gender Male HSC 2006 Oct 2, 2009 #2 The substitution u = 1 + ln x implies that there is no lower bound on the integral...(x = 0 undefined)
The substitution u = 1 + ln x implies that there is no lower bound on the integral...(x = 0 undefined)
L lolokay Active Member Joined Mar 21, 2008 Messages 1,015 Gender Undisclosed HSC 2009 Oct 2, 2009 #3 just looking at the question, that seems like a very strange substitution to make. is that definitely the substitution it asks for?
just looking at the question, that seems like a very strange substitution to make. is that definitely the substitution it asks for?
D Drongoski Well-Known Member Joined Feb 22, 2009 Messages 4,255 Gender Male HSC N/A Oct 2, 2009 #4 why not by parts ? [pi/4 + ln(sqrt(2)) ?]
kaz1 et tu Joined Mar 6, 2007 Messages 6,960 Location Vespucci Beach Gender Undisclosed HSC 2009 Uni Grad 2018 Oct 2, 2009 #5 It's from the 1998 SBHS paper Q1b). I would do IBP but can anyone verify the question says substitution.
It's from the 1998 SBHS paper Q1b). I would do IBP but can anyone verify the question says substitution.
T Timothy.Siu Prophet 9 Joined Aug 6, 2008 Messages 3,449 Location Sydney Gender Male HSC 2009 Oct 2, 2009 #6 thats actually a misprint for the next question, (the substitution is for the next question iirc), coz i've done this paper b4 and i was confused too.
thats actually a misprint for the next question, (the substitution is for the next question iirc), coz i've done this paper b4 and i was confused too.