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

$\begin{array}{1 1} \frac{(x+2) (\sqrt{1-4x-x^2})}{2}+\frac{5}{2} \sin^{-1}( \frac{x+2}{\sqrt 5})+c \\ \frac{(x+2) (\sqrt{1-4x-x^2})}{2}-\frac{5}{2} \cos^{-1}( \frac{x+2}{\sqrt 5})+c \\ \frac{(x-2) (\sqrt{1-4x-x^2})}{2}+\frac{5}{2} \sin^{-1}( \frac{x-2}{\sqrt 5})+c \\ \frac{(x-2) (\sqrt{1-4x-x^2})}{2}+\frac{5}{2} \cos^{-1}(\frac{x-2}{\sqrt 5})+c \end{array} $

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