What is the integral from-1 to 2 of xsqrt(x^2-1) ?

The integral from-1 to 2 of xsqrt(x^2-1) is square root of 3

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integral from-1 to 2 of xsqrt(x^2-1)

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

3

Decimal

1.73205 \dots

Solution steps

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

Apply u-substitution

= \int_{0}^{3} u^{2} d u

Apply the Power Rule

= [\frac{u ^{3}}{3}]_{0}^{3}

Compute the boundaries:

3

= 3

What is the integral from-1 to 2 of xsqrt(x^2-1) ?
The integral from-1 to 2 of xsqrt(x^2-1) is square root of 3