Question

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) = ?

Answer 1

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

Answer 2

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

Answer 3

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