Gce Model Questions Vol1 2023 Further Mathematics Question 20

Practice objective / multiple choice question 20 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 20 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

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

Answer Options

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

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 20. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

View More Gce Model Questions Vol1 2023 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