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Integrate the functionssqrt(1-4x-x^2)...

Integrate the functions`sqrt(1-4x-x^2)`

Text Solution

Verified by Experts

Let `I=int sqrt(1−4x−x^2)dx`
`=int sqrt(1−(x^2+4x+4−4))dx`
`=int sqrt(1+4−(x+2)^2)dx`
`=int sqrt((5)^2−(x+2)^2)dx`
...
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