Integration Example: Trigonometric Substitution #4

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Thank you.
These examples are great for learning integration-techniques.

jabunapg
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I wrote the integral as 1/2(2x+2-2)/√(x²+2x+2) and then split it, which gave me √(x²+2x+2) - arsinh(x+1) + C as my answer.

violintegral