Mathematics
20 Online
OpenStudy (anonymous):
Hello!! Is anyone good with evaluating indefinite integrals?
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OpenStudy (anonymous):
This one seems easy but I could sure use confirmation on the correct answer!! Lol.
OpenStudy (anonymous):
post the question
OpenStudy (anonymous):
Posting!!
OpenStudy (anonymous):
uh uhs, amistre is here :P
OpenStudy (amistre64):
.......TRIG......
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OpenStudy (anonymous):
i meant uh ohs*
OpenStudy (anonymous):
I couldn't figure out how to post a division with out the sign!
OpenStudy (amistre64):
give me a T; give me an R; give me an IG...whats that spell? trouble?
OpenStudy (anonymous):
lols nah, spells awesomeness
OpenStudy (amistre64):
post it your best and well decipher it :)
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OpenStudy (anonymous):
\frac{numer}{deno}
OpenStudy (anonymous):
ArcsinX + C
OpenStudy (anonymous):
^-- in the equation editor
and like amistre said it's not a big deal
OpenStudy (anonymous):
lols all yours amistre
OpenStudy (amistre64):
integrate arcsin + C? or is that your answer that yougot?
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OpenStudy (anonymous):
That's my answer - I just have to evaluate the integral
OpenStudy (amistre64):
whats the integral so that we can pervue its intricate innards :)
OpenStudy (anonymous):
\[\frac{1}{\sqrt{1 - x^2}}\]
is this the integral?
OpenStudy (anonymous):
without the integral sign...or the dx...
OpenStudy (anonymous):
\frac\[\int\limits_{?}^{?}\frac{1}{1+x^2} dx\]
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OpenStudy (amistre64):
thats a arctan..
OpenStudy (anonymous):
yup, amistre's right
OpenStudy (amistre64):
i saw it in a movie lol
OpenStudy (anonymous):
lols "down the rabbit hole"?
OpenStudy (amistre64):
:) tan^1(x) + C...are there any bounds to evaluate?
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OpenStudy (amistre64):
..^-1..
OpenStudy (anonymous):
\[[\int\limits] dx 1 + x2 = \arctan x + C \]
OpenStudy (anonymous):
Was that all I needed to refer to?! I have it in my notes but the 'dx' was in the num
OpenStudy (amistre64):
its like learning greek all over again ;)
OpenStudy (anonymous):
something like this?
\[\int\limits_{}^{}\frac{1}{x^2 + 1}dx\]
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OpenStudy (anonymous):
Noooo kidding! lol
OpenStudy (anonymous):
Noooo kidding! lol
OpenStudy (amistre64):
\[\int\limits_{} \frac{1}{1+x^2} dx \rightarrow \tan^{-1}(x) + C\]
OpenStudy (anonymous):
for answering this question, amistre...i give you...a MEDAL
OpenStudy (anonymous):
-applause-
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OpenStudy (amistre64):
yay!! ..... its prolly foiled covered chocolate...so I accept :)
OpenStudy (anonymous):
lols how'd you guess?
enjoy!
cheers
OpenStudy (anonymous):
Will arctan x + c be correct?
OpenStudy (anonymous):
-nod-
OpenStudy (amistre64):
as long as you havent left anyting out, yes; but arctan is a dated term
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OpenStudy (amistre64):
i would know; im dated ;)
OpenStudy (anonymous):
lol!
OpenStudy (anonymous):
Can you guys help me with another problem/confirm my answer being right or wrong?!!
OpenStudy (amistre64):
perhaps, but display the question first; just makes it easier :)
OpenStudy (anonymous):
lol - kk!!
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OpenStudy (anonymous):
Eval the Indefinite Integral :\[\int\limits\limits_{?}^{?}\frac{x^3 dx}{\sqrt[4]{5x^4-1}}\]
OpenStudy (amistre64):
you want a 15 for that :)
OpenStudy (anonymous):
I got: 1/15 (5x^4)^3/4 + C
OpenStudy (amistre64):
its refered to as "u- substitution"
u = 5x^4 - 1; du = 20x^3 dx
dx = du/20x^3
OpenStudy (anonymous):
\[\frac{1}{15} (5x^{4})^{3/4} + C\]
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OpenStudy (amistre64):
\[\int\limits_{} \frac{x^3 }{20x^3 u^{1/4}}du\]
OpenStudy (amistre64):
i mistyped 15; meant 20 :)
the x^3s cancel; pull out the 1/20; and integrate the u^(-1/4)
OpenStudy (amistre64):
\[\frac{1}{20} \int\limits_{} u^{-1/4} du \rightarrow \frac{1}{20} \frac{u^{(-1+ 4)/4}}{(-1+4)/4}\]
OpenStudy (amistre64):
u^(3/4)/(3/4)
4 * 4root(u^3)
------------
20 * 3
4root(u^3)
------------ = 4root[5x^4-1]/15
5 * 3
OpenStudy (amistre64):
forgot to ^3 my (5x^4 - 1)
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OpenStudy (amistre64):
\[\frac{\sqrt[4]{(5x^4 -1)^3}}{15} +C\]
OpenStudy (anonymous):
You are great!!!!! So final answer: \[\frac{1}{20} (5x^{4} -1)^{3/4} + C?\]
OpenStudy (amistre64):
that looks comparabley good :)
OpenStudy (amistre64):
ack!!...1/15.....not 1/20
OpenStudy (anonymous):
ahh!!
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OpenStudy (anonymous):
Fantastic!! lol - I almost messed that one up! Thank you so much! I have another problem I might post a new question so I can award medals - lol
OpenStudy (amistre64):
im sure we will be around :)