Neco 2023 Further Mathematics Question 32

Practice objective / multiple choice question 32 from the 2023 Neco Further Mathematics examination.

Neco 2023 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 32 NECO • 2023 • FURTHER_MATHEMATICS • objective

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

A. \frac{7}{5}\ln|x-1| + \frac{7}{10}\ln(x^{2}+4) + \frac{3}{10}\arctan\frac{x}{2} + C

B. \frac{6}{5}\ln|x-1| - \frac{7}{10}\ln(x^{2}+4) + \frac{3}{10}\arctan\frac{x}{2} + C

C. \frac{7}{5}\ln|x-1| - \frac{7}{10}\ln(x^{2}+4) + \frac{1}{10}\arctan\frac{x}{2} + C

Correct Answer D. \frac{7}{5}\ln|x-1| - \frac{7}{10}\ln(x^{2}+4) + \frac{3}{10}\arctan\frac{x}{2} + C

Correct Answer

Correct Option:

\frac{7}{5}\ln|x-1| - \frac{7}{10}\ln(x^{2}+4) + \frac{3}{10}\arctan\frac{x}{2} + C

This is Neco 2023 Further Mathematics Question 32. It is one of the objective questions from the 2023 Neco Further Mathematics examination.

Difficulty level: Medium .

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