INTEGRATION. Why both results are the same?

Question

#4 ln(x^2-4) + x^2 - 4 + c#
and
#4 ln(x^2-4) + x^2 + c#

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Answer 1 · 2018-06-07T16:58:17

See explanation

Remember #color(red)(-4# is just a constant, so

#4ln(abs(x^2-4))+x^2-4+C#

#=4ln(abs(x^2-4))+x^2+C_1#

Where, #color(blue)(C_1=-4+C#