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Integrate sqrt(1 - x) dx from 0 to 1

Integrate sqrt(1 - x) dx from 0 to 1
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Integrate sqrt(1 - x) dx from 0 to 1

User Prashant Kankhara
by
8.8k points

1 Answer

2 votes

Answer:

Hi,


(2)/(3)

Explanation:

Let's assume


t^2=1-x\\2t\ dt=-1*dx\\\int\limits^1_0 {√(1-x)\ \, dx =\int\limits^0_(-1) {t*(-2t)} \, dt =-2[(t^3)/(3) ]_(-1)^(\ 0)=(2)/(3)

User Reggie Carey
by
7.5k points
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