Porisma

A hint to get started

Find partial fractions and integrate each term

(i) Express 4+x(1−x)(4+x2)\dfrac{4+x}{(1-x)(4+x^2)} in partial fractions. marks

(ii) Hence find ∫4+x(1−x)(4+x2) dx\displaystyle\int\dfrac{4+x}{(1-x)(4+x^2)}\,dx. marks

[2016/DHS/I/6(b)]

CJC · Review Problems · Question 14

Use a linear numerator over the irreducible quadratic factor.

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