quick C4 integration question

雷尼克

I get the steps but why is the 1/2 added in front?

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Reply 1

TeeEm

Original post by 雷尼克

I get the steps but why is the 1/2 added in front?

there is a rule which can easily be proven or verified which say.

if you have to integrate a quotient and the numerator is the exact derivative of the denominator then the answer is the natural logarithm of the denominator.

here they multiplied the numerator by 2 and pulled 1/2 outside to get the "rule going"

look at some examples with solutions in the second page