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How do I integrate this?

constant(1- z/[sqrt (z^2 + constant^2)]

i know i can take the constant out so I have

constant * integral 1- z/[sqrt (z^2 + constant^2)]

and I know the integral of
z/[sqrt (z^2 + constant^2)] is
[ln z^2 + constant^2]/2

I just need to know in general how to separate the 1 + , i.e.

integral of 1 + f(x) = ?

  • Integration-Calculus -

    sorry i meant 1- f(x)
    1-, not 1+

  • Integration-Calculus -

    is it just integral 1 + integral f(x)
    and the integral 1 = x?

  • Integration-Calculus -

    Yes, the integral of 1(*dx) is just x.

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