Integration constant

I was doing a past paper, AQA Core 4 (June 2014) and on question 2)b) I got the right answer, but my constant of integration was a lowercase c, rather than the capital C in the markscheme.

Would I lose marks for this?

Why is it sometimes a lowercase c and sometimes a capital C or does it not matter?

Thanks

Does not matter of course... Although to be very explicit you may want to specify that C/ c / A / B... is a constant.

Any kind of 'c' is fine if you're sticking to the convention which I'd recommend.

But you could really use anything e.g.

$\int 2x \ dx = x^2 + elephant$

as long as you specify that elephant is a constant.

Thanks for that. I have another question as well:

On question 8)b, I had to integrate -4/(1+x)^2

I put -4x/1+x but the answer is 4/1+x

Why is this?

Thanks

Thanks for that. I have another question as well:

On question 8)b, I had to integrate -4/(1+x)^2

I put -4x/1+x but the answer is 4/1+x

Why is this?

Thanks

-4/(1+x)^2 = -4(1+x)^-2

But if it was say 4 x (1+2x) ^ -2, it would be different because of the 2 and reversing the chain rule???

Yes, you would need to divide by 2.