What is the integral from 5 to 13 of xsqrt(x^2-25) ?

The integral from 5 to 13 of xsqrt(x^2-25) is 576

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integral from 5 to 13 of xsqrt(x^2-25)

\int_{5}^{13} x x^{2} - 25 d x

576

Solution steps

\int_{5}^{13} x x^{2} - 25 d x

Apply u-substitution

: \int_{0}^{12} u^{2} d u

= \int_{0}^{12} u^{2} d u

Apply the Power Rule

: [\frac{u ^{3}}{3}]_{0}^{12}

= [\frac{u ^{3}}{3}]_{0}^{12}

Compute the boundaries:

576

= 576

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What is the integral from 5 to 13 of xsqrt(x^2-25) ?
The integral from 5 to 13 of xsqrt(x^2-25) is 576