Gce Model Questions Vol1 2022 Further Mathematics Question 21

Practice objective / multiple choice question 21 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty
Question 21 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

Evaluate the definite integral \(\displaystyle \int_{0}^{1} \frac{2x+3}{(x+1)(x^{2}+1)}\,dx\) by first expressing the integrand as a sum of partial fractions.

Answer Options

Correct Answer A. (1/4)ln 2 + (5π)/8
B. (1/2)ln 2 + (5π)/8
C. (3/4)ln 2 + (5π)/8
D. (1/4)ln 2 - (5π)/8
Correct Answer
A
Correct Option:
(1/4)ln 2 + (5π)/8

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 21. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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