Use Partial fraction to evaluate {eq}\int \frac{1}{(x - 1)(x^2 + 2)} \, \mathrm{d}x {/eq}.


Use Partial fraction to evaluate {eq}\int \frac{1}{(x - 1)(x^2 + 2)} \, \mathrm{d}x {/eq}.

Partial fractions:

A polynomial of second degree defined by the expression {eq}\,\, x^2+a^2 \,\, {/eq}, is an irreducible polynomial that has two conjugate complex roots. By applying the method of decomposition into partial fractions the the summand is obtained:{eq}\,\, \frac{cx+b}{x^2+a^2} \,\, {/eq}

Answer and Explanation: 1

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$$\displaystyle \int \frac{1}{(x - 1)(x^2 + 2)} \, \mathrm{d}x $$

Find the partial fraction decomposition of $$\frac{1}{(x - 1)(x^2 +...

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Partial Fractions: Rules, Formula & Examples


Chapter 3 / Lesson 26

Learn about what partial fractions are and their formula. Understand the method of how to do partial fractions from the rational and improper functions.

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