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Integrate the following functions 1/sqrt(7-6x-x^2) |
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Answer» SOLUTION :`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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