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Mathematics 16 Online
OpenStudy (anonymous):

help with this integral

OpenStudy (anonymous):

\[\int\limits_{}^{}(x)/\sqrt[4]{x+2}\]

OpenStudy (anonymous):

i said well maybe let me write x in terms of u, and then see if i can integrate that that still didnt work

OpenStudy (anonymous):

okay x+2 = t \[dt= dx\] \[\int \frac {t -2 }{t^{\frac{1}{4}}}\]

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

Now it's easy you can solve now

OpenStudy (anonymous):

do i change the denomiantor to t^-1/4 or no

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

and multiply that into the (t+2)

OpenStudy (anonymous):

yes perfect

OpenStudy (anonymous):

alright let me try it and i will post the answer

OpenStudy (anonymous):

sure : )

OpenStudy (anonymous):

"multiply into" i like that.

OpenStudy (anonymous):

well, distribute

OpenStudy (anonymous):

anyway, i got (4/7)(x+2)^7/4 - (8/5)(x+2)^5/4

OpenStudy (anonymous):

wait a min

OpenStudy (anonymous):

yea perfect except the second part -1/4 + 1 = 3/4

OpenStudy (anonymous):

just replace 5 with 3 rest is very good Good Job: )

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