Neco 2024 Further Mathematics Question 48

Practice objective / multiple choice question 48 from the 2024 Neco Further Mathematics examination.

Neco 2024 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 48 NECO • 2024 • FURTHER_MATHEMATICS • objective

Decompose the rational function \(\frac{2x^{2}+3x+5}{(x-1)(x^{2}+1)}\) into partial fractions and then evaluate \(\int \frac{2x^{2}+3x+5}{(x-1)(x^{2}+1)}\,dx\). Express the antiderivative in simplest form.

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

B. 4\\ln|x-1| - \\frac{3}{2}\\ln(x^{2}+1) + C

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

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

Correct Answer

Correct Option:

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

This is Neco 2024 Further Mathematics Question 48. It is one of the objective questions from the 2024 Neco Further Mathematics examination.

Difficulty level: Medium .

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