Gce Model Questions Vol1 2020 Further Mathematics Question 15

Practice objective / multiple choice question 15 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 15 GCE_MODEL_QUESTIONS_VOL1 • 2020 • FURTHER_MATHEMATICS • objective

Evaluate the integral \(\displaystyle \int \frac{2x+3}{(x-1)(x^{2}+4)}\,dx\).

Answer Options

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

About This Question

This is Gce Model Questions Vol1 2020 Further Mathematics Question 15. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

View More Gce Model Questions Vol1 2020 Further Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support