Neco 2019 Further Mathematics Question 35

Practice objective / multiple choice question 35 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 35 NECO • 2019 • FURTHER_MATHEMATICS • objective

Evaluate \(\displaystyle \int \frac{2x^{3}+3x^{2}+5x+7}{(x^{2}+1)(x+2)}\,dx\).

A. 2x+\frac{1}{5}\ln(x^{2}+1)+\frac{11}{5}\arctan x-\frac{5}{5}\ln|x+2|+C

B. 2x+\frac{1}{5}\ln(x^{2}+1)+\frac{9}{5}\arctan x-\frac{7}{5}\ln|x+2|+C

C. 2x+\frac{2}{5}\ln(x^{2}+1)+\frac{11}{5}\arctan x-\frac{7}{5}\ln|x+2|+C

Correct Answer D. 2x+\frac{1}{5}\ln(x^{2}+1)+\frac{11}{5}\arctan x-\frac{7}{5}\ln|x+2|+C

Correct Answer

Correct Option:

2x+\frac{1}{5}\ln(x^{2}+1)+\frac{11}{5}\arctan x-\frac{7}{5}\ln|x+2|+C

This is Neco 2019 Further Mathematics Question 35. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Medium .

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