Ask your own question, for FREE!
Mathematics 7 Online
OpenStudy (anonymous):

Integration question.

OpenStudy (anonymous):

Integration! ...

OpenStudy (anonymous):

Hey

OpenStudy (anonymous):

Hey, what's the question?

OpenStudy (anonymous):

\[\int\limits_{nothing}^{nothing} (5) / \sqrt(5-x^2)\]

OpenStudy (anonymous):

I tried this using inverse trignometric functions

OpenStudy (anonymous):

\[\int \frac{5}{\sqrt{5-x^2}}dx\]

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

\[5 \int \frac{1}{\sqrt{5\left(1 - (\frac{x}{\sqrt 5})^2)\right)}}dx\]

OpenStudy (anonymous):

\[\frac{5}{\sqrt 5 } \frac{1}{\sqrt{1 - \left(\frac{x}{\sqrt{5}}\right) ^2}}\]

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

I have a question

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

You see on the previous step

OpenStudy (anonymous):

\[\int \frac{5}{\sqrt 5 } \frac{1}{\sqrt{1 - \left(\frac{x}{\sqrt{5}}\right) ^2}}dx\]Now use \[\int \frac{1}{\sqrt{1-x^2}}dx = \sin^{-1}x\]

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

How you took sqrt(5) out, doesn't it come 25?

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

become

OpenStudy (anonymous):

\[\sqrt{ 5}*\sqrt { 1 - \frac{x^2}{5}}= \sqrt{5(1 - \frac{x^2}{5})}\]

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

Excellent

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

Thanks for your help. =)

OpenStudy (anonymous):

:)

OpenStudy (agreene):

Dont you need a ln|x| in that general form? (from cancelling the radicals)

OpenStudy (agreene):

nvm, im being dumb

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

Lol

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

Hey, how do i close this answer?

OpenStudy (anonymous):

\[\int \frac{5}{\sqrt 5 } \frac{1}{\sqrt{1 - \left(\frac{x}{\sqrt{5}}\right) ^2}}dx\] \[ \sqrt{5} * \sin^{-1} \frac{x}{\sqrt{5}}*\frac{1}{\sqrt{5}} +C\] \[\sin ^{-1} \frac{x}{\sqrt{5}} + C\]

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

I got this as the final answer:

OpenStudy (anonymous):

Yes that is correct

OpenStudy (anonymous):

\[\int\limits5\sin^{-1} (x/\sqrt5)+c\]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!