Hi
So let's have ∫(2x)/(4x^(2)+2) dx
Without factorising the 2 from the denominator, I integrate and I get
1/4*ln(4x^(2)+2)+c which makes sense as when I differentiate it I get the original derivative.
BUT when I factor the 2 from the denominator I have
2x/[2(2x^(2)+1)]...