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Integral Calculus

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30 Oct 2007 09:22:56 IST

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451

e^xlogxdx

None

integrate

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'',' Off to a nu start!!

Blazing goIITian

Joined: 13 Jan 2007

Posts: 1289

30 Oct 2007 10:15:11 IST

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it is in non-integrable form...

IYSWARYA SITHANATHAN

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2 Nov 2007 16:01:02 IST

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it can be written as XpowerX

pradnya pednekar

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6 Nov 2007 20:45:34 IST

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TO INTEGRATE e^x logx, we can use u*v form
we have the order of LIATE, WHERE L=LOGARITHMIC FUNCTION, I=INVERSE FN, A= ALGEBRAIC, T= TRIGO, E=EXPONENTIAL FN.
here e^x is taken as v & logx is taken as u acc to our order.
we have the formula,"u integration v dv --int of(du/dx . int of v dv)
hence ur problem becomes,

logx e^x-int of(1/x. e^x)dx
logx e^x-int of(e^x/x)dx--------------apply the same formula for second term. I think u will get it.
If u get it rate me..............

'',' Off to a nu start!!

Blazing goIITian

Joined: 13 Jan 2007

Posts: 1289

6 Nov 2007 21:00:30 IST

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dear pradnya, if u will integrate the second part u will not get 1st term or qn...tyr to integrate it..&if u can integrate den plzz let me know..

IYSWARYA SITHANATHAN

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9 Nov 2007 18:47:13 IST

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sorry ithink it isnot integrable if u integrate the 2nd part u will u will the Q back........

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