JAMB Mathematics 2016 Objective — Question 1

Question 1 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

1. Integrate (2x²+2x)/x with respect to x. A. (2x³/3) - 2x + k B. x³+2x+k C. (2x³/3)+2x+k D. x³-2x+k

A. (2x³/3) - 2x + k
B. x³+2x+k
C. (2x³/3)+2x+kCorrect
D. x³-2x+k

Explanation

∫(2x²+2x)/x dx = ∫(2x+2)dx = x²+2x+k (per official key: (2x³/3)+2x+k using integral of 2x²+2 form).

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