Gce Model Questions Vol1 2019 Further Mathematics Question 22

Practice objective / multiple choice question 22 from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 22 GCE_MODEL_QUESTIONS_VOL1 • 2019 • FURTHER_MATHEMATICS • objective

Evaluate the definite integral \(\displaystyle \int_{0}^{1} \frac{2x^{2}+3x+5}{(x+1)(x^{2}+2)}\,dx\). Give your answer in exact form.

Answer Options

Correct Answer A. ln2 + (1/3)ln3 + (7/(3\sqrt{2}))\arctan\left(\frac{1}{\sqrt{2}}\right)
B. ln2 + (1\/3)ln3 + (5\/(3\\sqrt{2}))\\arctan\\left(\\frac{1}{\\sqrt{2}}\\right)
C. ln2 + (2\/3)ln3 + (7\/(3\\sqrt{2}))\\arctan\\left(\\frac{1}{\\sqrt{2}}\\right)
D. ln2 + (1\/3)ln3 + (7\/(3\\sqrt{2}))\\arctan\\left(\\frac{2}{\\sqrt{2}}\\right)
Correct Answer
A
Correct Option:
ln2 + (1/3)ln3 + (7/(3\sqrt{2}))\arctan\left(\frac{1}{\sqrt{2}}\right)

About This Question

This is Gce Model Questions Vol1 2019 Further Mathematics Question 22. It is one of the objective questions from the 2019 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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