What is 1/(xsqrt(x^2-1)) ?

The solution to 1/(xsqrt(x^2-1)) is (sqrt(x^2-1))/(x^3-x)

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simplify 1/(xsqrt(x^2-1))

simplify

\frac{1}{x x ^{2} - 1}

\frac{x ^{2} - 1}{x ^{3} - x}

Solution steps

\frac{1}{x x ^{2} - 1}

Multiply by the conjugate

\frac{x ^{2} - 1}{x ^{2} - 1}

= \frac{1 \cdot x ^{2} - 1}{x x ^{2} - 1 x ^{2} - 1}

1 \cdot x^{2} - 1 = x^{2} - 1

x x^{2} - 1 x^{2} - 1 = x^{3} - x

= \frac{x ^{2} - 1}{x ^{3} - x}

\frac{3}{x ^{2} - x - 2} - \frac{2}{x ^{2} - 5 x + 6}

3 \div \frac{5}{8}

1 - 49 x^{2}

a r g (i^{(1 + i)})

(8 m^{7})^{2}

What is 1/(xsqrt(x^2-1)) ?
The solution to 1/(xsqrt(x^2-1)) is (sqrt(x^2-1))/(x^3-x)