The discussion focuses on the integration of the function S(x(x+1)^(1/2)) dx, where participants analyze the steps taken to solve the integral. The correct substitution involves using u = x + 1, leading to the integral S((u-1)√u) du. The final correct expression for the integral is (2/5)(x+1)^(5/2) - (2/3)(x+1)^(3/2) + C. Participants emphasize the importance of expressing the result in a simplified form, specifically as √(x+1) multiplied by a polynomial in x.
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)tjohn101 said:
… but perhaps you should put it in the same form as the question, ie √(x+1) times an ordinary polynomial in x ?