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in Definite Integrals by (48.8k points)
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 Evaluate:

\(\int_1^2\) dx/(√(x - 1)(2 - x))

1 Answer

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Best answer

Using perfect square method for the denominator

=sin-1(1)-sin-1 (-1)

We know sin-1 (-θ ) = - sin θ

= π/2 + π//2

= π

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