Question

INTEGRATION. Why both results are the same?

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

Answer 1

See explanation

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`