Mathematics
22 Online
OpenStudy (legomyego180):
Calculus (Integration)
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OpenStudy (legomyego180):
\[\int\limits_{}^{}\frac{ 3 }{ 1-x^2 }\]
OpenStudy (togundeji):
What grade are you in? How old are you? @legomyego180
OpenStudy (legomyego180):
This is college calculus, 24 years old
OpenStudy (togundeji):
if you don'r mind me asking
OpenStudy (togundeji):
No way! You're in collage!?
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OpenStudy (togundeji):
I am only a 10th grader in highschool....
OpenStudy (togundeji):
I thought this website was just for kids....
OpenStudy (legomyego180):
Nope, see how my question says "college" on it, that means its a college level question
Nnesha (nnesha):
lol there are 53+ years old users :P
OpenStudy (legomyego180):
Do you know how to do this @Nnesha ?
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Nnesha (nnesha):
is that suppose to be `1+x^2` ??
Nnesha (nnesha):
d*
OpenStudy (legomyego180):
\[\int\limits_{}^{}\frac{ 3 }{ \sqrt{1-x^2} }\]
OpenStudy (legomyego180):
sorry about that
Nnesha (nnesha):
oh okay now make sense
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OpenStudy (togundeji):
interesting to know open study has no age base.....
OpenStudy (legomyego180):
The age base is definitely age 17 and under I think. You can tell by the questions being asked. Its all highschool math mostly.
Nnesha (nnesha):
this is same as \[\int\limits_{}^{}\frac{ 3 }{ \sqrt{1-x^2} }dx\]
\[\int\limits_{}^{}\frac{ 1 }{ \sqrt{1-x^2} } \cdot 3 dx\]
OpenStudy (legomyego180):
right. im setting u=1-x^2
OpenStudy (legomyego180):
But I get 2x and that just doesnt work
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OpenStudy (togundeji):
True! Lol! Hope you ace what ever assignment you got! @legomyego180
Nnesha (nnesha):
that should be `-2x`
but as you can that's not gonna help you to simplify right
Nnesha (nnesha):
see*
OpenStudy (legomyego180):
Thanks @ TOgundeji!
Hm, interesting, there must be another way...
Nnesha (nnesha):
invs trig functions:
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Nnesha (nnesha):
gtg
OpenStudy (legomyego180):
Ah,
3arccos(x)+c then
OpenStudy (zarkon):
almost
OpenStudy (zarkon):
\[\frac{d}{dx}[3 \arccos(x)+c] = -\frac{3}{\sqrt{1-x^2}}\]