(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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∫ dx / (x+1)√[2x(x+2)]

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2. Relevant equations

Let x = tan θ if √(a^2 + x^2)

Where a = constant

3. The attempt at a solution

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∫ dx / (x+1)√(2x)√(x+2)

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1/√2 ( ∫ dx / (√x)(x+1)[√(x+2)]

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Now make all x in terms of √x so we can apply relevant equation ( applied also to constant )

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1/√2 ( ∫ dx / (√x)((√x)^2+1)[√(√x+2)]

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Now before i go on I want to ask if this is possible so I can apply the rule of the tangent in substitution?

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# Integral Calculus - Trigonometric Substitution

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