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Mathematics 15 Online
OpenStudy (whimsical):

help how do i integrate the following

OpenStudy (whimsical):

\[\frac{ 4r }{ \sqrt{1-r ^{4}} }\]

OpenStudy (whimsical):

tried integration by parts but it just kept looping, looked at model answer and does not know what is happening

ganeshie8 (ganeshie8):

Have you tried subing \(u=r^2 \) ?

OpenStudy (whimsical):

no, thats the given ans's step as well but after subing u=r^2 the numerator would be troublesome wouldn't it?

OpenStudy (whimsical):

\[\frac{ 4\sqrt{u} }{ \sqrt{1-u ^{2}} }\]

ganeshie8 (ganeshie8):

hold up, not so fast

ganeshie8 (ganeshie8):

with \(u\) substitution, you need to replace both \(r\) and \(dr\)

ganeshie8 (ganeshie8):

\[\int \frac{ 4r }{ \sqrt{1-r ^{4}} }\, dr\] thats your integral, right ?

OpenStudy (whimsical):

oh.. ok i think i understand my mistake now give me a sec i will try with this new information

ganeshie8 (ganeshie8):

okie good luck!

OpenStudy (whimsical):

k i got the ans thanks

ganeshie8 (ganeshie8):

np :)

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