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Calculus1 9 Online
OpenStudy (anonymous):

Indefinite Integral

OpenStudy (anonymous):

u=x-2 du =dx

OpenStudy (rational):

so many folks eager to help you :)

OpenStudy (anonymous):

\[\int\limits_{}^{}\frac{ x }{ \sqrt{x+1} }\]

OpenStudy (anonymous):

dx

OpenStudy (anonymous):

u=x+1 hahahaa

OpenStudy (anonymous):

yeah but then what?

OpenStudy (anonymous):

du = dx

OpenStudy (anonymous):

x =? :)

OpenStudy (anonymous):

x = u-1

OpenStudy (anonymous):

boom boom boom

OpenStudy (anonymous):

boom got it :D

OpenStudy (anonymous):

thx batman

OpenStudy (anonymous):

\[\int\limits \frac{ u-1 }{ \sqrt{u} }du\]

OpenStudy (anonymous):

Oh alright :)

OpenStudy (anonymous):

thx everyone actually XOXO

OpenStudy (anonymous):

What did you get as an answer?

OpenStudy (rational):

dont ask, answer is something unpleasant i suppose ;)

OpenStudy (luigi0210):

And yw ;)

OpenStudy (anonymous):

Not too bad :), I can show the steps if you want.

OpenStudy (anonymous):

i got [2(x+1)^(5/2)]/5 - [2(x+1)^(3/2)]/3 + C

OpenStudy (anonymous):

Not quite

OpenStudy (anonymous):

wha?

OpenStudy (anonymous):

i combined (u-1)(u)^1/2 before integrating

OpenStudy (anonymous):

so u^3/2 -u^1/2

OpenStudy (anonymous):

then i integrated that

OpenStudy (anonymous):

and imported u = x+1 for it

OpenStudy (rational):

u^(1/2) - u^(-1/2)

OpenStudy (anonymous):

\[\int\limits \left( \sqrt{u}-\frac{ 1 }{ \sqrt{u} } \right)du\]

OpenStudy (anonymous):

ahhh you're very right..

OpenStudy (anonymous):

darn

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

\[\huge \frac{ 2 }{ 3 }(x-2)\sqrt{x+1}+C\] This should be your final answer.

OpenStudy (anonymous):

thats what WFA gave me too.. but it still doesn't look like that >.<

OpenStudy (anonymous):

\[\huge \int\limits \sqrt{u}du-\int\limits \frac{ 1 }{ \sqrt{u} }du\] \[\huge \frac{ 2u ^{3/2} }{ 3 }-2\sqrt{u}+C\] \[\huge \frac{ 2 }{ 3 }(x+1)^{3/2}-2\sqrt{x+1}+C\] \[\Huge \frac{ 2 }{ 3 }(x-2)\sqrt{x+1}+C\]

OpenStudy (anonymous):

Alright, I gtg now, good night and take care :).

OpenStudy (anonymous):

GOT IT!

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