Neco 2018 Further Mathematics Question 9

Practice objective / multiple choice question 9 from the 2018 Neco Further Mathematics examination.

Neco 2018 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 9 NECO • 2018 • FURTHER_MATHEMATICS • objective

Evaluate the integral \(\displaystyle \int \frac{2x+3}{(x-1)(x^{2}+4)}\,dx\).

A. \\ln|x-1| - \\frac{1}{2}\\ln(x^{2}+4) + \\arctan\\left(\\frac{x}{2}\\right) + C

B. \\ln|x-1| - \\frac{1}{2}\\ln(x^{2}+4) - \\frac{1}{2}\\arctan\\left(\\frac{x}{2}\\right) + C

Correct Answer C. \\ln|x-1| - \\frac{1}{2}\\ln(x^{2}+4) + \\frac{1}{2}\\arctan\\left(\\frac{x}{2}\\right) + C

D. \\ln|x-1| + \\frac{1}{2}\\ln(x^{2}+4) + \\frac{1}{2}\\arctan\\left(\\frac{x}{2}\\right) + C

Correct Answer

Correct Option:

\\ln|x-1| - \\frac{1}{2}\\ln(x^{2}+4) + \\frac{1}{2}\\arctan\\left(\\frac{x}{2}\\right) + C

This is Neco 2018 Further Mathematics Question 9. It is one of the objective questions from the 2018 Neco Further Mathematics examination.

Difficulty level: Medium .

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