What is area 1/(xsqrt(x^2-1)),x= 2/(sqrt(2)),x=2 ?

The answer to area 1/(xsqrt(x^2-1)),x= 2/(sqrt(2)),x=2 is pi/(12)

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area 1/(xsqrt(x^2-1)),x= 2/(sqrt(2)),x=2

area

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

\frac{π}{12}

Decimal

0.26179 \dots

Solution steps

Apply the area formula:

\int_{\frac{2}{2}}^{2} \frac{1}{∣ x ∣ x ^{2} - 1} d x

Solve

\int_{\frac{2}{2}}^{2} \frac{1}{∣ x ∣ x ^{2} - 1} d x : \frac{π}{12}

The area is:

= \frac{π}{12}

What is area 1/(xsqrt(x^2-1)),x= 2/(sqrt(2)),x=2 ?
The answer to area 1/(xsqrt(x^2-1)),x= 2/(sqrt(2)),x=2 is pi/(12)