I've used "View an example" on the Pearson website for a Integral problem using substitution.
I understand the process the example had until I got to the end.
The problem is an indefinite integral
Integral [ ( ln sqr(x) ) / x ] dx
The answer came out to
( ln sqr(x) )^2 + C
The part I don't understand is just before the final answer. which is
1/4 ( ln x)^2 + C. How or why does this convert into
I understand the process the example had until I got to the end.
The problem is an indefinite integral
Integral [ ( ln sqr(x) ) / x ] dx
The answer came out to
( ln sqr(x) )^2 + C
The part I don't understand is just before the final answer. which is
1/4 ( ln x)^2 + C. How or why does this convert into
( ln sqr(x) )^2 + C
Where did the 1/4 go? and why did it x turn into square root x?
During the process in the beginning I had a hard time determining what the substitution should be. Using the example it mentioned use the Log rule.Where did the 1/4 go? and why did it x turn into square root x?