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Popular >

simplify (1-x)^{-1/2}dx

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot d x}{( 1 - x ) ^{\frac{1}{2}}}

Multiply:

1 \cdot d x = d x

= \frac{d x}{( 1 - x ) ^{\frac{1}{2}}}

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Frequently Asked Questions (FAQ)

What is (1-x)^{-1/2}dx ?
The solution to (1-x)^{-1/2}dx is (dx)/((-x+1)^{1/2)}