Neco 2017 Further Mathematics Question 38

Practice objective / multiple choice question 38 from the 2017 Neco Further Mathematics examination.

Neco 2017 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 38 NECO • 2017 • FURTHER_MATHEMATICS • objective

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

Correct Answer A. 2\ln|x-1|+\frac{3}{2}\arctan\frac{x}{2}+C

B. 2\\ln|x-1|-\\frac{3}{2}\\arctan\\frac{x}{2}+C

C. \\ln|x-1|+\\frac{3}{2}\\arctan\\frac{x}{2}+C

D. 2\\ln|x-1|+\\frac{1}{2}\\arctan\\frac{x}{2}+C

Correct Answer

Correct Option:

2\ln|x-1|+\frac{3}{2}\arctan\frac{x}{2}+C

This is Neco 2017 Further Mathematics Question 38. It is one of the objective questions from the 2017 Neco Further Mathematics examination.

Difficulty level: Medium .

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