Neco 2025 Further Mathematics Question 36

Practice objective / multiple choice question 36 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 36 NECO • 2025 • FURTHER_MATHEMATICS • objective

Find the value of the constant \(k\) such that \(\displaystyle \int_{1}^{2} \frac{x + k}{x(x+1)}\,dx = \ln 3\).

A. \\(k = \\frac{\\ln2}{2\\ln3-\\ln2}=\\frac{1}{2\\log_{3}2-1}\\)

B. \\(k = \\frac{\\ln3}{\\ln2}=\\log_{2}3\\)

Correct Answer C. \(k = \frac{\ln2}{2\ln2-\ln3}=\frac{1}{2-\log_{2}3}\)

D. \\(k = \\frac{\\ln2}{\\ln3-2\\ln2}=\\frac{1}{\\log_{2}3-2}\\)

Correct Answer

Correct Option:

\(k = \frac{\ln2}{2\ln2-\ln3}=\frac{1}{2-\log_{2}3}\)

This is Neco 2025 Further Mathematics Question 36. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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