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Core 4 Integration Help??

It's a parametrics question but it came to have the cartesian equation:

y=x/(2x-1)

and the question:
The finite region between the curve C and the x-axis, bounded by the lines with equations x = 2/3 and x = 1, is shown shaded in the figure above.
(c) Calculate the exact value of the area of this region, giving your answer in the form a + b ln c, where a, b and c are constants.

I know to integrate with the limits 1 and 2/3 but I just don't know how to integrate x/(2x-1)help??
Original post by geohan

I just don't know how to integrate x/(2x-1)help??


Either use a substitution u=2x-1 and work from there, or since degree numerator >= degree denominator, use polynomial/long division to start (the latter is doable in your head if you're proficient).
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geohan
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Original post by ghostwalker
Either use a substitution u=2x-1 and work from there, or since degree numerator >= degree denominator, use polynomial/long division to start (the latter is doable in your head if you're proficient).


Thanks! I got it in the end though, I accidentally posted this twice so had some replies on the other one haha

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