Neco 2025 Further Mathematics Question 11

Practice objective / multiple choice question 11 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 11 NECO • 2025 • FURTHER_MATHEMATICS • objective

Evaluate the definite integral \( \displaystyle \int_{0}^{1} \frac{2x+3}{(x+1)(x^{2}+2)}\,dx \).

A. \( \frac{1}{6}\bigl(3\ln2+\ln3\bigr)+\frac{7}{3\sqrt2}\arctan\!\left(\frac1{\sqrt2}\right) \)

B. \( \frac{1}{6}\bigl(3\ln2-\ln3\bigr)+\frac{5}{3\sqrt2}\arctan\!\left(\frac1{\sqrt2}\right) \)

C. \( \frac{1}{6}\bigl(2\ln2-\ln3\bigr)+\frac{7}{3\sqrt2}\arctan\!\left(\frac2{\sqrt2}\right) \)

Correct Answer D. \( \frac{1}{6}\bigl(3\ln2-\ln3\bigr)+\frac{7}{3\sqrt2}\arctan\!\left(\frac1{\sqrt2}\right) \)

Correct Answer

Correct Option:

\( \frac{1}{6}\bigl(3\ln2-\ln3\bigr)+\frac{7}{3\sqrt2}\arctan\!\left(\frac1{\sqrt2}\right) \)

This is Neco 2025 Further Mathematics Question 11. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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