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# Quick integration by substitution question C4 watch

1. Hi guys,

Heres the question

Show by integration of substitution using u=2x-1 that

integral (no limits) 2x/(2x-1)^2 dx.

So first I differentiate u=2x-1 which means du/dx=2 therefore dx=du/2

I dont know what to do next, I sub in my values for u?
Thanks
2. (Original post by Virgil)
Hi guys,

Heres the question

Show by integration of substitution using u=2x-1 that

integral (no limits) 2x/(2x-1)^2 dx.

So first I differentiate u=2x-1 which means du/dx=2 therefore dx=du/2

I dont know what to do next, I sub in my values for u?
Thanks
Yes - you need to get the integrand completely in terms of u.

Note that if u=2x-1, 2x=u+1.
3. Yes, should be simple to integrate after that.

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Updated: February 7, 2010
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