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Ask iit jee aieee pet cbse icse state board experts Expert Question: integration of (epowerx)(logx).
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vnkt.swaroop (353)

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integration of

    
vibhav1991 (144)

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integrate it by parts

THINK BIG!
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<TR><TD>



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vnkt.swaroop (353)

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can u give me the proof.
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paddy.dude (1154)

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iam not getting it using parts ......someone please post the soluton
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vnkt.swaroop (353)

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I think it cannot be integrated.How can we find whether a function is integrable or not.
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chinmay_saxena01 (572)

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canany one plz post the solution...even i m also not gettingt the nswer,,by using by parts,,,

<TABLE CELLSPACING="1" CELLPADDING="1" BORDER="0">
<TR><TD>


<DIV ALIGN="right">Glitter Graphics</DIV></TD></TR></TABLE>
if i helped u plzzzzz rate me,,,,,,,
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ankitagg (314)

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here goes my solution




 


take e^x=t




 


dx=dt/e^x




 


x=log t




 


now we have to integrate  (e^x will cancels out) 




 


 log log t dt




 


integrating by parts u will get




 


t log log t  - ( integration of) 1/log t dt


again integrating by parts




 


t log log t  -  t/log t  + t^/3




 


putting value of t =e^x




 


ans... e^xlog x  -  e^x /x + e^3x/3




 


rate me




 


 

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vnkt.swaroop (353)

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in ur answer epowerx is not substituted.1/logx integral is not defined.
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ankitagg (314)

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didn't understand.please explain

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sid1678 (62)

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the question can be solved using integration by parts. the formula is integral uv=u*integralv-integral du*integral v

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paddy.dude (1154)

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oh come on man we all know how to do integration by parts we need the method to solve this particular solution
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vnkt.swaroop (353)

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in this sum integrations by parts cannot be applied.so suggest any method.
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iitkgp_bipin (6144)

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It is non-integrable.

Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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zark (0)

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use intergration by reduction method.


i'll take some time to get the proof.. but ya try finding out the reduction method from any book

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little_genius (295)

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