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Integrate the following functions 1/sqrt...

Integrate the following functions `1/sqrt(7-6x-x^2)`

Text Solution

Verified by Experts

`7-6x-x^2 = 7-(x^2+6x)`
=`7-(x^2+6x+9-9)`
`16-(x+3)^2`
therefore` int 1/sqrt(7-6x-x^2) dx`
=`int 1/sqrt(16-(x+3)^2) dx`
=`sin^-1((x+3)/4)+c`
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