Neco 2019 Further Mathematics Question 9

Practice objective / multiple choice question 9 from the 2019 Neco Further Mathematics examination.

Neco 2019 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 9 NECO • 2019 • 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.

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

Correct Answer B. 2\ln|x-1| + \frac{3}{2}\arctan\left(\frac{x}{2}\right) + C

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

D. 2\ln|x-1| + \frac{3}{2}\arctan\left(\frac{x}{4}\right) + C

Correct Answer

Correct Option:

2\ln|x-1| + \frac{3}{2}\arctan\left(\frac{x}{2}\right) + C

This is Neco 2019 Further Mathematics Question 9. It is one of the objective questions from the 2019 Neco Further Mathematics examination.

Difficulty level: Medium .

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