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Evaluate: int(dx)/((x-4)sqrt(x+5))...

Evaluate: `int(dx)/((x-4)sqrt(x+5))`

Text Solution

Verified by Experts

Let `I=int(dx)/((x-4)sqrt(x+5))` { put `x+5=t^(2) rArr dx=2t dt}`
`therefore I=int(2dt)/(t^(2)-9)= 2/6ln|(t-3)/(t+3)|+C=1/3ln|(sqrt(x+5)-3)/(sqrt(x+5)+3)|+C`
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