how to know on what variable the constant is dependant..

**transgalactic** · August 14th 2009, 03:47 AM

how to know on what variable the constant dependant
$\frac{\mathrm{d} U}{\mathrm{d} x}=\frac{yz}{1+x^2y^2z^2}\\$
$t=xyz\\$
$dt=yzdx\\$
$\int \frac{dt}{1+t^2}=arctg(t)+c(?,?,?)<br />$

**Amer** · August 14th 2009, 04:55 AM

Originally Posted by transgalactic

how to know on what variable the constant dependant
$\frac{\mathrm{d} U}{\mathrm{d} x}=\frac{yz}{1+x^2y^2z^2}\\$
$t=xyz\\$
$dt=yzdx\\$
$\int \frac{dt}{1+t^2}=arctg(t)+c(?,?,?)<br />$

I think the constant depend on y,z since we integrate with respect to x

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