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March 29, 2017

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integral x/(x+5)^1/2

(u-5)/u^1/2 du giving
u^1/2 du -5u^-1/2 du
and integral will be now
2/3 u^3/2 -10u^1/2 +c
=2/3(x+5)^3/2 -10(x+5)^1/2 +c
=2/3(x+5)^1/2{(x+5) -30} +c
=2/3(x+5)^1/2{(x -25} +c

have i done something wrong??

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