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int(1)^(2)(dx)/((x+1)sqrt(x^(2)-1))...

`int_(1)^(2)(dx)/((x+1)sqrt(x^(2)-1))`

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To evaluate the definite integral \[ I = \int_{1}^{2} \frac{dx}{(x+1)\sqrt{x^2-1}}, \] we will use the substitution \( x = \sec \theta \). ...
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Evaluate :int(dx)/(sqrt((x-1)(2-x))) by the substitution x=1+sin^(2)theta .Hence,find the value of int_(1)^(2)(dx)/(sqrt((x-1)(2-x)))