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Mathematics 10 Online
OpenStudy (anonymous):

How to integrate this?

OpenStudy (anonymous):

\[\int\limits_{-a}^{a} \frac{ 1 }{(x^{2} + y ^{2})^{\frac{ 3 }{ 2 }}}\] I want to know how to integrate this?

OpenStudy (anonymous):

Anybody can give me pointers?

OpenStudy (anonymous):

@amistre64

OpenStudy (amistre64):

you have no "indentifier" attributed to it. is it with respect to x, or y, or both?

OpenStudy (anonymous):

oops i forgot its with respect to y (dy)

OpenStudy (amistre64):

then anything with an x is considered to be just another constant

OpenStudy (anonymous):

yes i agree

OpenStudy (amistre64):

\[\int\limits_{-a}^{a} \frac{ 1 }{(C + y ^{2})^{\frac{ 3 }{ 2 }}}dy\]

OpenStudy (anonymous):

hmm yeah

OpenStudy (amistre64):

there is also some consideration to take to some value of a: a + y^2 = 0 might not be in the interval

OpenStudy (amistre64):

it mat very well simply not converge ...

OpenStudy (amistre64):

*may ....

OpenStudy (amistre64):

had a mistake above; the interval such that x^2+a^2 = 0

OpenStudy (amistre64):

which is impossible with Real values ... so ust ignore that thought lol

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