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Evaluate the definite integralsint2^ 3(...

Evaluate the definite integrals`int_2^ 3(xdx)/(x^2+1)`

Text Solution

Verified by Experts

`I=int_2^3(dx)/(x^2-1)`
=>`int(dx)/(x^2-1)=1/2log|\(x-1)/(x+1)|=F(x)`
By second fundamental theorem of calculus, we obtain
`I=F(3)-F(2)`
...
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