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Evaluate: int1/(x^2-10 x+34)dx...

Evaluate: `int1/(x^2-10 x+34)dx`

Text Solution

Verified by Experts

y=`int1/(x^2-10 x+34)dx`
On adding and subtracting `5^2` to both sides
y=`int1/(x^2-10 x+5^2-5^2+34)dx`
=`int 1/((x-5)^2-9)dx`
let `x-5=t`
`dx=dt`
=`int 1/(t^2-9)dt`
=`1/3tan^(-1)(t/3)+c`
...
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