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Tính

1. \(\displaystyle\int\dfrac{2x-1}{x-1}\mathrm{d}x\)
2. \(\displaystyle\int\dfrac{x+3}{x-5}\mathrm{d}x\)
3. \(\displaystyle\int\dfrac{2x+3}{1-x}\mathrm{d}x\)
4. \(\displaystyle\int\dfrac{x}{x+1}\mathrm{d}x\)
5. \(\displaystyle\int\dfrac{2x}{x-1}\mathrm{d}x\)
6. \(\displaystyle\int\dfrac{3x+2}{2x-3}\mathrm{d}x\)
7. \(\displaystyle\int\dfrac{x}{(x+1)^2}\mathrm{d}x\)
8. \(\displaystyle\int\dfrac{x^2+4x+3}{2x}\mathrm{d}x\)
9. \(\displaystyle\int\dfrac{x^2}{x-1}\mathrm{d}x\)
10. \(\displaystyle\int\dfrac{2x}{(x+1)^2}\mathrm{d}x\)