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Questions  >>  CBSE XII  >>  Math  >>  Integrals
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Integrate the function $\sqrt{x^2+4x+1}$

$\begin{array}{1 1} \large \frac{(x+2)(\sqrt{x^2+4x+1}}{2}-\frac{3}{2} \log|x+2+\sqrt{x^2+4x+1}|+c \\\large \frac{(x+2)(\sqrt{x^2+4x+1}}{2}+\frac{3}{2} \log|x+2+\sqrt{x^2+4x+1}|+c \\ \large \frac{(x+2)(\sqrt{x^2+4x+1}}{2}-\frac{3}{2} \log|x+2-\sqrt{x^2+4x+1}|+c \\\large \frac{(x-2)(\sqrt{x^2+4x+1}}{2}-\frac{1}{2} \log|x+2+\sqrt{x^2+4x+1}|+c \end{array} $

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