JAMB Mathematics 2008 Objective — Question 25

Question 25 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2008 Objective paper, with the correct answer and a full explanation.

If f(x) = 2x^3-x^2-4x+4, integrate f(x) with respect to x

A. x^4/2 - x^3/3 - 2x^2 + 4x + CCorrect
B. x^4/2 - x^3/3 + 2x^2 + 4x + C
C. 2x^4 - x^3/3 - 2x^2 + 4x + C
D. x^4 - x^3/3 - 2x^2 + C

Explanation

Integral of 2x^3 = x^4/2. Integral of -x^2 = -x^3/3. Integral of -4x = -2x^2. Integral of 4 = 4x. Total: x^4/2 - x^3/3 - 2x^2 + 4x + C.

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