Anti derivative of $$dxx2+2x+3$$ is equal to

Correct option is 1logx+1+x2+2x+3+c

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$Anti derivative of \frac{d x}{\sqrt{x^{2} + 2 x + 3}} is equal to$

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detailed solution

Correct option is A

∫dxx2+2x+3=∫dxx2+2x+1+2=∫dx(x+1)2+(2)2 Use ∫1x2+a2dx=log⁡x+x2+a2+c=log⁡(x+1)+x2+2x+3+c

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Anti derivative of dxx2+2x+3 is equal to

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$Anti derivative of \frac{d x}{\sqrt{x^{2} + 2 x + 3}} is equal to$