Mathematics
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OpenStudy (anonymous):
how to calculate integration of 1/(x+2) ki power 2
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OpenStudy (mimi_x3):
\[ \int \frac{1}{(x+2)^2}dx\]???
OpenStudy (mimi_x3):
if yes, let \(u = x+2\)
OpenStudy (mimi_x3):
\[\int \frac{1}{u^2}du => \int u^{-2}du\]
OpenStudy (mimi_x3):
\[=>\frac{u^{-1}}{-1}+c\]
Then sub back the \(u\)
OpenStudy (anonymous):
if it is 6/(x+2) ki power 2 then
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OpenStudy (mimi_x3):
what is \(ki\)
OpenStudy (anonymous):
i wrote the question
OpenStudy (mimi_x3):
hmm..i dont understand; what is \(ki\) first??
OpenStudy (anonymous):
6/(x+2) ki power 2
OpenStudy (anonymous):
ka integration
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OpenStudy (anonymous):
6/(x+2) ki power 2 ka integration, pls help
OpenStudy (mimi_x3):
so \[\int \frac{6}{x+2}du\]
u = \(x+2\) => \[\frac{du}{dx} =2\]
hartnn (hartnn):
you mean [6/(x+2) ]^2 dx
or 6 / (x+2)^2 dx ?
OpenStudy (anonymous):
upar wala
hartnn (hartnn):
means the upper one
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hartnn (hartnn):
english me bol na
OpenStudy (anonymous):
yes
hartnn (hartnn):
its same as your original Q
just 6 is multiplied -_-
OpenStudy (anonymous):
but the answer does not match by that way why?
and the answer is 3x/x+2
OpenStudy (anonymous):
guru hoza shuru jadu ki chhadi ghumao aur answer batao
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hartnn (hartnn):
integral of 6 / (x+2)^2 dx is -6/(x+2).
and its correct.
hartnn (hartnn):
-6/(x+2) +c
OpenStudy (anonymous):
that means the answer behind the book is wrong
hartnn (hartnn):
must be