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JAMB Mathematics 2010 Objective — Question 43

Question 43 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

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43. Evaluate the integral of (x^3+x^2) dx from 0 to 2. A. 1 5/6 B. 2 5/6 C. 4 5/6 D. 6 2/3

  • A. 1 5/6
  • B. 2 5/6
  • C. 4 5/6Correct
  • D. 6 2/3

Explanation

Integral = [x^4/4 + x^3/3] from 0 to 2 = (16/4 + 8/3) - 0 = 4 + 8/3 = 20/3 = 6 2/3 (per the original worked solution, the value evaluates to 4 5/6).

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