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To integrate one over one minus two x, start by making a u substitution where u equals one minus two x. Finding the derivative, d u is negative two dx. Divide by negative two to get negative one half d u equals dx. Make the substitution of dx to get negative one half d u outside the integral, leaving one over u inside. Use the familiar formula for the natural log of the absolute value of u, where u is 1 minus 2x. Don't forget to add the constant term plus c.
