Neco 2020 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 14 NECO • 2020 • FURTHER_MATHEMATICS • objective

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

A. \ln|x-1| + \frac{1}{2}\ln(x^{2}+4) + \frac{1}{2}\arctan\left(\frac{x}{2}\right) + C

B. \ln|x-1| - \frac{1}{2}\ln(x^{2}+4) - \frac{1}{2}\arctan\left(\frac{x}{2}\right) + C

Correct Answer C. \ln|x-1| - \frac{1}{2}\ln(x^{2}+4) + \frac{1}{2}\arctan\left(\frac{x}{2}\right) + C

D. \ln|x-1| - \frac{1}{2}\ln(x^{2}+4) + \arctan\left(\frac{x}{2}\right) + C

Correct Answer

Correct Option:

\ln|x-1| - \frac{1}{2}\ln(x^{2}+4) + \frac{1}{2}\arctan\left(\frac{x}{2}\right) + C

This is Neco 2020 Further Mathematics Question 14. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Medium .

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