Neco 2017 Further Mathematics Question 4

Practice essay / theory question 4 from the 2017 Neco Further Mathematics examination. This question covers Partial fractions, Integration of rational functions, Logarithmic and inverse trigonometric integrals .

Neco 2017 Further Mathematics Essay / Theory

Topics: Partial fractions Integration of rational functions Logarithmic and inverse trigonometric integrals

Question 4 NECO • 2017 • FURTHER_MATHEMATICS • essay

Consider the rational function \(R(x)=\dfrac{3x^{2}+5x-2}{(x-1)(x^{2}+4)}\).

Question Parts

( a )

Express \(R(x)\) in the form \(\dfrac{A}{x-1}+\dfrac{Bx+C}{x^{2}+4}\) and determine the constants \(A, B, C\).

( b )

Evaluate the definite integral \(\displaystyle \int_{0}^{2} R(x)\,dx\) using the decomposition obtained in part (a).

Detailed Solution & Marking Scheme

Get the step-by-step solution, key points required by examiners and detailed marking guidance through the Edcrib AI Tutor.

Reveal Answer

About This Question

This is Neco 2017 Further Mathematics Question 4. It is one of the essay questions from the 2017 Neco Further Mathematics examination.

The question covers Partial fractions, Integration of rational functions, Logarithmic and inverse trigonometric integrals .

View More Neco 2017 Further Mathematics Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows

Chat with Support