Gce Model Questions Vol1 2017 Further Mathematics Question 3

Practice objective / multiple choice question 3 from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2017 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 3 GCE_MODEL_QUESTIONS_VOL1 • 2017 • FURTHER_MATHEMATICS • objective

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

Answer Options

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

About This Question

This is Gce Model Questions Vol1 2017 Further Mathematics Question 3. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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