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Evaluate: int(dx)/((2x-7)(x-7)(x-4))...

Evaluate: `int(dx)/((2x-7)(x-7)(x-4))`

Text Solution

Verified by Experts

`I=int(dx)/((2x-7)sqrt((x-3)(x-4)))`
`=int(dx)/((2x-7)sqrt(x^(2)-7x+12))`
`=int(2dx)/((2x-7)sqrt((2x-7)^(2)-1))`
`=(1)/(2)sec^(-1)(2x-7)+c`
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