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Completing the square

Quadratic forms

Concept 6 of 17 in Integrals

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Think about this

You know ∫dxx2+1=tan⁡−1x+c\int \frac{dx}{x^2 + 1} = \tan^{-1}x + c. What is ∫dxx2+2x+2\int \frac{dx}{x^2 + 2x + 2}?