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प्रश्न
Evaluate the definite integral:
`int_2^3 (xdx)/(x^2 + 1)`
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उत्तर
`int_2^3 (x dx)/(x^2 + 1)`
`= 1/2 int_2^3 (2x)/(x^2 + 1) dx`
`= 1/2 [log (x^2 + 1)]_2^3`
`= 1/2 [log 10 - log 5]`
`= 1/2 log 2`
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