Mathematics
7 Online
OpenStudy (anonymous):
Integration question.
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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
Join the QuestionCove community and study together with friends!
Sign Up
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)
Join the QuestionCove community and study together with friends!
Sign Up
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?
Join the QuestionCove community and study together with friends!
Sign Up
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):
\[\int\limits5\sin^{-1} (x/\sqrt5)+c\]