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Addition of Algebraic Expressions

integration o...

Question

integration of x multiply underroot 1-(xx)/1+(xx)

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x [1 + \frac{1}{x}] [1 - \frac{1}{x}]

3 x^{2} - x^{3} + x + 1

(1 + x)

(x^{2} + x + 1)

(1 - x)

.

Q. The integral

\int \frac{d x}{(1 + \sqrt{x}) \sqrt{x - x^{2}}}

is equal to: (where

C

is a constant of integration).

x - \frac{1 + \sqrt{- 3}}{2}

x - \frac{1 - \sqrt{- 3}}{2}

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