Mathematics
4 Online
OpenStudy (kayders1997):
Will someone help me with this find the integral of (x^2+1)/square root of x
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OpenStudy (steve816):
\[\large \int\limits_{}^{}\frac{ x^2+1 }{ \sqrt{x} }~dx=\int\limits_{}^{}\frac{ x^2 }{ x^\frac{ 1 }{ 2 } }+\frac{ 1 }{ x^\frac{ 1 }{ 2 }}~dx\]
OpenStudy (steve816):
Ok now, you can simplify the fractions ya?
OpenStudy (kayders1997):
ohhh right, I forgot that you can split fractions, so it would be x^3/2+1/square root of x
OpenStudy (kayders1997):
@harman.singh
OpenStudy (harman.singh):
Is that your answer for the whole integral or one fraction?
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OpenStudy (kayders1997):
whole
OpenStudy (kayders1997):
@harman.singh
OpenStudy (kayders1997):
@zepdrix
zepdrix (zepdrix):
whut :U
OpenStudy (kayders1997):
what?
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OpenStudy (kayders1997):
I may just be overthinking
zepdrix (zepdrix):
`so it would be x^3/2+1/square root of x`
\[\large\rm \int\limits x^{3/2}+x^{-1/2}~dx\]Yes, before integrating.
OpenStudy (kayders1997):
ok
zepdrix (zepdrix):
You figure out the rest of it lady Kay? :d
OpenStudy (kayders1997):
yes 2/5x^5/2+2x^1/2
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zepdrix (zepdrix):
yay good job
OpenStudy (kayders1997):
\[2/5x^2\sqrt{x}+2\sqrt{x}+c\]
OpenStudy (kayders1997):
:)
OpenStudy (kayders1997):
I forgot you could split the fractions I was trying to do u sub lol
zepdrix (zepdrix):
Bahhh :d
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OpenStudy (kayders1997):
lol what?