∫ -dx/(5x)

[burgerandcheese]

How come if I use this I get the wrong answer? ?
g(x) = 1/x, f(x) = ln(|x|), a = -5, b = 0

∫ -1/(5x) dx = ∫ g(-5x)dx = k +(1/-5)ln(|-5x|) = k -(1/5) * [ ln(5) + ln(|x|) ]

 

[Dr.Peterson]

Why do you think that's wrong? Are you comparing to a given answer? What is it?

Of course, your constant k may be different from theirs, so your answer may look different while being equivalent.

By the way, I don't think "the simplest integral" is a valid concept. People may disagree over what is simplest. I think they just mean that f is an antiderivative of g.

 

[burgerandcheese]

Of course, your constant k may be different from theirs, so your answer may look different while being equivalent.

OMG. Thank you
Yes because I was comparing it with my other working
∫ -dx/(5x) = -1/5 ∫ dx/x = -1/5 * ln|x| + k

By the way, I don't think "the simplest integral" is a valid concept. People may disagree over what is simplest. I think they just mean that f is an antiderivative of g

Yes I was confused at first too