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प्रश्न
Integrate the following with respect to x.
`sqrt(x^2 - 2)`
उत्तर
`int sqrt(x^2 - 2) "d"x`
= `int sqrt(x^2 - (sqrt(2))^2) "d"x`
= `x/2 sqrt(x^2 - (sqrt(2))^2) - (sqrt(2)/2)^2 log|x + sqrt(x^2 - (sqrt(2))^2)| + "c"`
= `x/2 sqrt(x^2 - 2) - log|x + sqrt(x^2 - 2)| + "c"`
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