Mathematics
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OpenStudy (anonymous):
integral of ln(x)^3 dx
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OpenStudy (anonymous):
\[\int\limits_{?}^{?}\ln(x)^3 dx\]
OpenStudy (anonymous):
Sorry, \(ln(x^3)\) or \((ln(x))^3\) ??
OpenStudy (anonymous):
\[\ln(x)^3\]
OpenStudy (anonymous):
i know how to do \[(lnx)^3\]
OpenStudy (anonymous):
Use power rule then:
\[\ln(a^b) = b \cdot \ln(a)\]
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OpenStudy (abb0t):
@Somy tells me that only those who cant land jobs go into higher education after bachelors...
OpenStudy (anonymous):
@abb0t then what can we do in this??
OpenStudy (abb0t):
I am in islamabad
OpenStudy (anonymous):
Good for you.. :)
OpenStudy (abb0t):
Do you think @Somy is right about this?
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OpenStudy (anonymous):
\[\int\limits \ln(x)^3 dx = 3 \int\limits \ln(x).dx\]
OpenStudy (anonymous):
No, upto some extent, he or she may be right..
OpenStudy (anonymous):
@yoonjae can you proceed further??
OpenStudy (anonymous):
how do u integrate ln x
OpenStudy (anonymous):
With the pen in your hand on your notebook.. :P
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OpenStudy (anonymous):
use integration by parts ?
OpenStudy (anonymous):
Yep.. :) Good..
OpenStudy (anonymous):
are u sure about power rule?
OpenStudy (anonymous):
You can write it as:
\[3\int\limits x^{0} \cdot \ln(x) \cdot dx\]
OpenStudy (anonymous):
I think I am...
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OpenStudy (anonymous):
If this is \(ln(x^3)\) then I am sure..
OpenStudy (anonymous):
so i got 3xlnx -3x + C
OpenStudy (anonymous):
is it right?
OpenStudy (anonymous):
Good, you must get that only.. :)
OpenStudy (anonymous):
thank you sir
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OpenStudy (anonymous):
"Friend"..
OpenStudy (anonymous):
okay bro =))
OpenStudy (anonymous):
Okay brother.. :)
OpenStudy (abb0t):
uck.
OpenStudy (somy):
lol did he delete his answer? (i mean dan (from my acc))