What is 1/2 (x+pi)^{-1/2}(x+pi) 1/(1-x^2) ?

The solution to 1/2 (x+pi)^{-1/2}(x+pi) 1/(1-x^2) is ((x+pi)^{1/2})/(2(-x^2+1))

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simplify 1/2 (x+pi)^{-1/2}(x+pi) 1/(1-x^2)

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

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

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

Multiply fractions:

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

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

Multiply:

1 \cdot 1 \cdot (x + π)^{\frac{1}{2}} = (x + π)^{\frac{1}{2}}

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

e^{- 16000}

\frac{e ^{- 2 x}}{e ^{- 4 x}}

(e^{- x + 3 + l n (2)})^{2}

(67926.6488 \cdot 1 0^{- 6}) (26)

π (x^{3})^{2}

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