IIT JEE , AIEEE Forum - Mathematics , Integral Calculus

vikgupta07

integration of 1/logx and 1/(x+logx)

deedee

solly

wrng method

sandeepramesh

i think it cannot be done

spideyunlimited

1/(x+logx)

OKAY I GOT A METHOD,,, but wts wrong ? :
log x = t .............x = e^t
1/x dx = dt

1/(x+logx) = x / x (x+logx)
= e^t.dt / e^t + t

take e^t + t = m
e^t + 1 .dt = dm -------------------- OK mistake was here i took it as e^t.dt earlier thanks :D.... man really should stop staying awake late night lol

so integration = log m = log (e^t + t)
= log (x + log x)

but it seems wrong to me :(
sandeepramesh any clue?

sunip_the_mini_mastermind

u wrote e^t + t =m
its equal to (e^t +1)dt=dm and not (e^t dt)=dm

elastiboysai

_{[ ]}

^{[ ]} (1/logx)dx can be evaluated but involves higher level of mathematics, higher than jee level.
don bother abt it.
n deedee u will not get the ans your way. why dont u chec urself before posting
somthing wrong????

ayshwarya

hey wats d ans 4 d 1st 1 frnd plzzzzzzzzzzzzz

magiclko

well...both cant be integrated....atleast not ur level...

still if u want to knw the answer, here's the link to the integrator...u can use to find it !!

http://integrals.wolfram.com/index.jsp

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