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Evaluate: intsqrt(3-2x-x^2)\ dx...

Evaluate: `intsqrt(3-2x-x^2)\ dx`

Text Solution

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`int sqrt{3-2 x-x^{2}} d x `
` =int sqrt{3-(2 x+x^{2})} d x`
Adding and Subtracting `1^{2}`
` =int sqrt{3-(x^{2}+2 x+1^{2}-1^{2})} d x `
` =int sqrt{3-(x^{2}+2 x+1^{2})+1} d x `
` =int sqrt{3+1-(x^{2}+2 x+1^{2})} d x `
` ...
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