Gce Model Questions Vol1 2023 Further Mathematics Question 25

Practice objective / multiple choice question 25 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 25 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

Evaluate the integral \(\displaystyle \int \frac{3x^{2}+5x+2}{(x+1)(x^{2}+4)}\,dx\) by first decomposing the integrand into partial fractions.

Answer Options

A. (3\/2)\ln\bigl(x^{2}+5\bigr)+\arctan\frac{x}{2}+C
B. (1\/2)\ln\bigl(x^{2}+4\bigr)+\arctan\frac{x}{2}+C
Correct Answer C. (3/2)\ln\bigl(x^{2}+4\bigr)+\arctan\frac{x}{2}+C
D. (3\/2)\ln\bigl(x^{2}+4\bigr)-\arctan\frac{x}{2}+C
Correct Answer
C
Correct Option:
(3/2)\ln\bigl(x^{2}+4\bigr)+\arctan\frac{x}{2}+C

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 25. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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