please evaluate this Integral
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Answer:
log | x+1 + √(x²+2x+3) | +C
Step-by-step explanation:
∫[ dx / √(x²+2x+3)]
= ∫[ dx / √(x²+2x+1+2)]
= ∫[ dx / √((x+1)²+2)]
= ∫[ dx / √((x+1)²+(√2)²)]
= log | (x+1) + √((x+1)²+(√2)² | + C
= log | x+1 + √(x²+2x+3) | +C
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