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intsqrt(1-4x-x^(2))dx...

`intsqrt(1-4x-x^(2))dx`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(2)(x+2)sqrt(1-4x-x^(2))+(5)/(2)sin^(-1)((x+2)/(sqrt(5)))+C`
`I=intsqrt(1-(x^(2)+4x+4)+4)dx=intsqrt(5-(x+2)^(2))dx`.
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