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Evaluate: int(18)/((x+2)(x^2+4))\ dx...

Evaluate: `int(18)/((x+2)(x^2+4))\ dx`

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`I=int frac{18}{(x+2)(x^{2}+4)} d x`
Let `frac{18}{(x+2)(x^{2}+4)}=frac{A}{x+2}+frac{B x+C}{x^{2}+4}`
`Rightarrow frac{18}{(x+2)(x^{2}+4)}=frac{A(x^{2}+4)+(B x+C)(x+2)}{(x+2)(x^{2}+4)} `
`Rightarrow 18=A x^{2}+4 A+B x^{2}+2 B x+C x+2 C `
`Rightarrow 18=(A+B) x^{2}+x(2 B+C)+4 A+2 C`
Equating coefficients of like terms
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