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problem with integration

Hello all, I am currently doing the EB lower level maths course and I am struggling with integration.

Can anyone help me integrate this?

(x+6) / (2x) [dx]

I can tell that it's really damn easy but my mind is having one of those moments. :stomp:

(edited 10 years ago)

Reply 1

ghostwalker

Original post by Mieka

...

(a+b)/c = a/c + b/c

And carry on.

Reply 2

Mieka

Original post by ghostwalker

(a+b)/c = a/c + b/c

And carry one.

I have the answers with me and apparently the correct answer is this:

(6*ln(x)+x) / (2)

I don't see how they got that....

(edited 10 years ago)

Reply 3

ghostwalker

Original post by Mieka

I have the answers with me and apparently the correct answer is this:

(2*ln(x)+x) / (2)

I don't see how they got that....

You need to split the function into two, as I was hinting at in my first post.

So, x/2x + 6/2x to start.

I think there is a typo in their answer.

Edit: I see you've changed it. What answer do you get, as you can get a slightly different answer and still be correct, because of the constant term - which isn't shown.