Neco 2018 Further Mathematics Question 3

Practice objective / multiple choice question 3 from the 2018 Neco Further Mathematics examination.

Neco 2018 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 3 NECO • 2018 • FURTHER_MATHEMATICS • objective

Evaluate \(\displaystyle \int \frac{2x^{2}+3x+5}{(x-1)(x^{2}+4)}\,dx\).

A. 2\ln|x-1|+\frac{3}{2}\tan^{-1}\left(\frac{x}{4}\right)+C

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

C. \ln|x-1|+\frac{3}{2}\tan^{-1}\left(\frac{x}{2}\right)+C

Correct Answer D. 2\ln|x-1|+\frac{3}{2}\tan^{-1}\left(\frac{x}{2}\right)+C

Correct Answer

Correct Option:

2\ln|x-1|+\frac{3}{2}\tan^{-1}\left(\frac{x}{2}\right)+C

This is Neco 2018 Further Mathematics Question 3. It is one of the objective questions from the 2018 Neco Further Mathematics examination.

Difficulty level: Medium .

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