Clarifying the Use of C1 in Step 3: Solution to Homework Problem

[camboguy]

Homework Statement

Hello, this is the solution to a problem that i am doing and the only thing i am confused about is why the
C1 in the third step is = to − 1/2 ln 2 √3 as stated in the last line.
=√3/2 sec θ − 1/2 ln |sec θ + tanθ| + C1

that is all i am confused about but i get the rest.

i appreciate the Help Thank you very much.

 

[Dick]

Subtract the last equation from the next to last to solve for C in terms of C1. Not that the relation between them matters very much. Either one is an arbitrary constant.