# Math Help - how to know on what variable the constant is dependant..

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

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(?,?,?)
$

2. 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(?,?,?)
$
I think the constant depend on y,z since we integrate with respect to x