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Find the integralint(1-x)sqrt(x)dx...

Find the integral`int(1-x)sqrt(x)dx`

Text Solution

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` int (1-x) sqrt(x) dx = int (x^(1//2) -x^(3//2)) dx`
`= int x^(1//2) dx- int x^(3//2) dx`
`=(x^(3//2))/(3//2) -(x^(5//2))/(5//2) +c`
`=(2)/(3) x^(3//2) -(2)/(5) x^(5//2) +c`
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