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Callisto
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\[∫(24lnx)/xdx=∫(24lnx)d(lnx)=...\]
Callisto
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Hmm..
The idea is to let u = lnx , du= ... dx
Then do the substitution and integrate it.
lovelymultani
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right now I have
24x +xlnx-1 + lnx
winterfez
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|dw:1355723590484:dw|
winterfez
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can you integrate that?
winterfez
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|dw:1355723775094:dw|
winterfez
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integrate from there
lovelymultani
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|dw:1355723857099:dw|
lovelymultani
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is that right
winterfez
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|dw:1355723958311:dw|
lovelymultani
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ok integrate of ln x = xlnx -1 ?
winterfez
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do u subsitution
lovelymultani
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24 integrate lnx 1/x is final ?
winterfez
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|dw:1355724026428:dw|
lovelymultani
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thankss ! that made everything much clear, but how did you know to use the u^2/ 2?
winterfez
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you have to add 1 to the power then divided..let say if you have \[\int\limits(x^2)\]
when you intergrate it will be \[\frac{ x ^{2+1} }{ 2+1 }\]
\[\frac{ x^3 }{ 3 }\]
Callisto
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|dw:1355724577063:dw|
lovelymultani
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Thanks fellas
winterfez
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like @Callisto says dont forget the C