To evaluate -dx-x-1-x2-3x-2 one of the most suitable substitution could be

The correct options are C √( x^2+3x 2)=u(1 x) D √( x^2+3x 2)=u(x 2) x ^ 2 +3x 2= x ^ 2 +2x+x 2= x( x 2 ) +1( x 2 ) =( 1 x ) ( x 2 ) #160; ...

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Integration by Substitution

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Question

To evaluate $\int \frac{d x}{(x - 1) \sqrt{- x^{2} + 3 x - 2}}$ one of the most suitable substitution could be

\sqrt{- x^{2} + 3 x - 2} = u

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\sqrt{- x^{2} + 3 x - 2} = (u x \sqrt{2})

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\sqrt{- x^{2} + 3 x - 2} = u (1 - x)

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\sqrt{- x^{2} + 3 x - 2} = u (x - 2)

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