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

Evaluate: `int(x^2)/(sqrt(1-x ))dx`

Text Solution

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`I=\int \frac{x^{2}}{\sqrt{1-x}} d x `
`\text { Put } \Rightarrow 1-x=t^{2} `
`\quad=-d x=2 t d t `
`I=\int \frac{(I-t^{2})^{2} \cdot(-2 t)}{t} d t `
...
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