The integral is .

Algebraic formula: .

Here contains irreducible quadratic factors.

Therefore,

Substitute in above expression.

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Equate coefficients of  terms on each side.

Equate coefficients of  terms on each side.

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Substitute , and in .

Apply formula: .

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Consider .

Let .

Differentiate on each side.

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Substitite and in .

Consider .

Find the integral by completing the squares.

Apply formula:.

Substitute above result in .

Substitute above result in .

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