Gce Model Questions Vol1 2022 Further Mathematics Question 45

Practice objective / multiple choice question 45 from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2022 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 45 GCE_MODEL_QUESTIONS_VOL1 • 2022 • FURTHER_MATHEMATICS • objective

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

Answer Options

A. \ln|x-1| + \frac{3}{2}\arctan\frac{x}{2} + C

B. 2\ln|x-1| + \frac{3}{2}\arctan\frac{2}{x} + C

C. 2\ln|x-1| + \frac{1}{2}\arctan\frac{x}{2} + C

Correct Answer D. 2\ln|x-1| + \frac{3}{2}\arctan\frac{x}{2} + C

Correct Answer

Correct Option:

2\ln|x-1| + \frac{3}{2}\arctan\frac{x}{2} + C

About This Question

This is Gce Model Questions Vol1 2022 Further Mathematics Question 45. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Medium .

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