JAMB Mathematics 2007 Objective — Question 39
Question 39 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2007 Objective paper, with the correct answer and a full explanation.
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Integrate (x^2 - sqrt(x))/x with respect to x.
- A. 2(x^2-x)/3x + k
- B. x^2-pi.x/2 + k
- C. x^2/2 - 2sqrt(x) + kCorrect
- D. x^2/2 - sqrt(x) + k
Explanation
(x^2-sqrt(x))/x = x - x^(-1/2). Integrating: x^2/2 - 2sqrt(x) + k.
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