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Integrate the following functions sqrt(1-4x-x^2) |
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Answer» Solution :`int SQRT(1-4x-x^2) dx` =`int sqrt(1-(x^2+4x))dx` =`int sqrt(1-(x^2+4x+4-4) dx` =`int sqrt(1-(x+2)^2+4) DX` =`int sqrt((sqrt5)^2-(x+2)^2) dx` `(x+2)/2 sqrt((sqrt)^2-(x+2)^2) + (sqrt5)^2/2 sin^-1((x+2)/sqrt5) +C` `(x+2)/2 sqrt(1-4x-x^2)+ 5/2 sin^-1((x+2)/sqrt5)+c` |
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