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-1 = 0 ?? - 22 May, 2008
 +0 Karma
Sorry, not my area of expertise. Try God?
- Author's History - 22 May, 2008
 +3 Karma
Until the second to last line the process was correct. But an integral is an antiderative plus a constant, so you can't assume both
$\int tan{x}dx$
are equal. In fact that equation can be expressed as
$ln {|sec{x}|} + C_1 = -1 + (ln {|sec{x}|} + C_2)$
We can see -1 is a constant, and then the equation is merely expressed as
$ln {|sec{x}|} + C_1 = ln {|sec{x}|} + C_2$
From this, it is expected that
$C_1 = C_2$
given that those constants can assume any real value.
- Author's History - 25 May, 2008