Neco 2021 Further Mathematics Question 9

Practice objective / multiple choice question 9 from the 2021 Neco Further Mathematics examination.

Neco 2021 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 9 NECO • 2021 • FURTHER_MATHEMATICS • objective

Find constants \(A\) and \(B\) such that \(\displaystyle \frac{2x+3}{x^{2}-x-6}=\frac{A}{x-3}+\frac{B}{x+2}\). Then evaluate the indefinite integral \(\displaystyle \int \frac{2x+3}{x^{2}-x-6}\,dx\).

A. (\\frac{9}{5})\\ln|x-3| - (\\frac{1}{5})\\ln|x+2| + C

B. (\\frac{9}{5})\\ln|x-3| + (\\frac{2}{5})\\ln|x+2| + C

Correct Answer C. (\frac{9}{5})\ln|x-3| + (\frac{1}{5})\ln|x+2| + C

D. (\\frac{1}{5})\\ln|x-3| + (\\frac{9}{5})\\ln|x+2| + C

Correct Answer

Correct Option:

(\frac{9}{5})\ln|x-3| + (\frac{1}{5})\ln|x+2| + C

This is Neco 2021 Further Mathematics Question 9. It is one of the objective questions from the 2021 Neco Further Mathematics examination.

Difficulty level: Medium .

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