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Mathematics 18 Online
OpenStudy (anonymous):

Integration Just to double check my answer

OpenStudy (anonymous):

If\[\frac{ d }{ dx }\frac{ 5x }{ (2x+1) }=\frac{ 5 }{ (2x+1)^2 }\],

OpenStudy (anonymous):

find\[\int\limits_{}^{}\frac{ 1 }{ (2x+1)^2 }dx\]

hartnn (hartnn):

so, did you get x/(2x+1) ?

OpenStudy (anonymous):

yes

hartnn (hartnn):

this one was easier then previous ones :P

OpenStudy (anonymous):

okay, lol But,thank you @hartnn\[\huge{:)}\]

hartnn (hartnn):

wait, are you sure you calculated derivative correctly?

OpenStudy (anonymous):

do u want to c my working..maybe u can check it

hartnn (hartnn):

the final answer should have been -1/[2(2x+1)]

hartnn (hartnn):

yes please

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

This is my working..\[\int\limits_{}^{}\frac{ 5 }{ (2x+1)^2 }dx=\frac{ 5x }{ 2x+1 }\]\[5\int\limits_{}^{}\frac{ 1 }{ (2x+1)^2 }dx=\frac{ 5x }{ 2x+1 }\]\[\int\limits_{}^{}\frac{ 1 }{ (2x+1)^2 }dx=\frac{ 1 }{ 5 }(\frac{ 5x }{ 2x+1 })\]\[=\frac{ x }{ 2x+1 }\]

hartnn (hartnn):

ok, yes its correct! seems that this x/(2x+1) is just another equivalent answer!

OpenStudy (anonymous):

Thank you @hartnn\[\huge{:)}\]

hartnn (hartnn):

welcome \[\huge{:)}\]

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