Neco 2025 Further Mathematics Question 5

Practice objective / multiple choice question 5 from the 2025 Neco Further Mathematics examination.

Neco 2025 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 5 NECO • 2025 • FURTHER_MATHEMATICS • objective

Evaluate the integral \(\displaystyle \int \frac{2x^{2}+3x+5}{(x-1)(x^{2}+4)}\,dx\) by expressing the integrand as a sum of partial fractions.

A. 3\ln|x-1| + \frac{3}{2}\arctan\left(\frac{x}{2}\right) + C

B. 2\ln|x-1| + \frac{5}{2}\arctan\left(\frac{x}{2}\right) + C

Correct Answer C. 2\ln|x-1| + \frac{3}{2}\arctan\left(\frac{x}{2}\right) + C

D. 2\ln|x-1| + \frac{3}{2}\arctan\left(\frac{2}{x}\right) + C

Correct Answer

Correct Option:

2\ln|x-1| + \frac{3}{2}\arctan\left(\frac{x}{2}\right) + C

This is Neco 2025 Further Mathematics Question 5. It is one of the objective questions from the 2025 Neco Further Mathematics examination.

Difficulty level: Medium .

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