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15-06-2016
Mathematics

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Evaluate the integral: ∫dx/(sqrt((x^2)+16))

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Fluxions Fluxions

15-06-2016

let x=4tanβ, then dx = 4sec²βdβ. Now

∫(4sec²β)/(4secβ)dβ
= ∫secβdβ
= ln |tanβ - secβ| + c
= ln |(x/4) - (√(x²+16)/4| + C
= ln |x/√(x²+16)

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