Gce Model Questions Vol1 2025 Further Mathematics Question 49
Practice objective / multiple choice question 49 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Express \(\dfrac{2x^{2}+3x+5}{(x+1)(x^{2}+1)}\) as \(\dfrac{A}{x+1}+\dfrac{Bx+C}{x^{2}+1}\). Then, using this decomposition, find the exact value of \(\displaystyle\int_{0}^{1}\dfrac{2x^{2}+3x+5}{(x+1)(x^{2}+1)}\,dx\).
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This is Gce Model Questions Vol1 2025 Further Mathematics Question 49. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Medium .
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