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Year 12 Specialist (Unit 3 & 4) Techniques of integration

Partial fractions

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Question 1
13447

\(\int {\dfrac{1}{{\left( {x + 1} \right)\left( {{x^2} + 4} \right)}}} {\rm{ }}dx = \)

\(\dfrac{1}{5}\log \left( {x + 1} \right) - \dfrac{1}{{10}}\log \left( {{x^2} + 4} \right) + \dfrac{1}{{10}}{\tan ^{ - 1}}\dfrac{x}{2} + c\)

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