Neco 2020 Further Mathematics Question 37

Practice objective / multiple choice question 37 from the 2020 Neco Further Mathematics examination.

Neco 2020 Further Mathematics Objective / Multiple Choice Medium Difficulty

Question 37 NECO • 2020 • FURTHER_MATHEMATICS • objective

Evaluate the indefinite integral \\( \\int \\frac{3x^{2}+5x+2}{(x-1)(x^{2}+4)}\\,dx \\).

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

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

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

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

Correct Answer

Correct Option:

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

This is Neco 2020 Further Mathematics Question 37. It is one of the objective questions from the 2020 Neco Further Mathematics examination.

Difficulty level: Medium .

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