how do we integrate z/(x^2+z^2) with respect to x the answer is arctan(x/z)

how do we integrate z/(x^2+z^2) with respect to x the answer is arctan(x/z)

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\[\int\limits_{}^{}\frac{ z }{ x ^{2}+z ^{2} }dx\]

this is a formula you use to compute the integral of a function with this structure.

You will be able to relate your question simply to the standard integral \[\large \frac{1 }{ a^2+x^2 } =\frac{1 }{a } \times \arctan (\frac{x}{ a })\]

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