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Evaluate l(n)= int (dx)/((x^(2)+a^(2))^...

Evaluate ` l_(n)= int (dx)/((x^(2)+a^(2))^(n))`.

Text Solution

Verified by Experts

The correct Answer is:
`I_(n+1)=(1)/(2n a^(2))*(x)/((x^(2)+a^(2))^(n))+((2n-1))/(2n)*(1)/(a^(2))I_(n)`
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