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Standard integrals of quadratic forms

Quadratic forms

Concept 5 of 17 in Integrals

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Think about this

ddxtan⁡−1x4=4x2+16\frac{d}{dx}\tan^{-1}\frac{x}{4} = \frac{4}{x^2 + 16}. So what is ∫dxx2+16\int \frac{dx}{x^2 + 16}?