JAMB Mathematics 2013 Objective — Question 38

Question 38 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

Integrate (1+x)/x² dx

A. A. 2x²−1/x+k
B. B. −1/(2x²)−1/x+kCorrect
C. C. −x²/2−1/x+k
D. D. x²−1/x+k

Explanation

∫(1/x²+1/x)dx=−1/x+ln|x|+k. Actually ∫(1+x)/x²=∫x⁻²+x⁻¹dx=−x⁻¹+lnx+k. None match exactly; closest is B.

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