integration using substitution

Question

If you wanted to transform the antiderivative

∫ x^2/2x − 3 dx

Use this choice to transform the problem. Write your answer in terms of u:

∫___________________

Answer 1

∫x²/(2x - 3)dx = ∫[x/2 + 3/4 + 9/4·1/(2x - 3)] = x²/4 + 3/4x + 9/8lnI2x - 3I + C