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# C4 Integration Question

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1. Hi,

I was going through the C4 paper for January 2006 and I came to the integration question I've attached an image of below. I've circled the bit I got up to.

The markscheme gets to the integral of 3(u^2+1)/2u x udu and then simplifies it as seen below.

When I simplified, I got 3/2u^2 + 3/2 not 3u^2 + 3/2

I integrated from there so got a different answer. Why does the markscheme simplify in this way?
Attached Images

2. bump
3. (Original post by etherealinsanity)
The markscheme gets to the integral of 3(u^2+1)/2u x udu and then simplifies it as seen below.

When I simplified, I got 3/2u^2 + 3/2 not 3u^2 + 3/2

I integrated from there so got a different answer. Why does the markscheme simplify in this way?
If you look at the next line, it's clear this was a typo, as they integrate to

However you should end up with the same final answer.
4. (Original post by ghostwalker)
If you look at the next line, it's clear this was a typo, as they integrate to

However you should end up with the same final answer.
Oh, okay. Thank you! I think I made a mistake with one of my negatives later on.

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