What is the integral from 15 to 17 of xsqrt(x^2-225) ?

The integral from 15 to 17 of xsqrt(x^2-225) is 512/3

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integral from 15 to 17 of xsqrt(x^2-225)

\int_{15}^{17} x x^{2} - 225 d x

\frac{512}{3}

Decimal

170.66666 \dots

Solution steps

\int_{15}^{17} x x^{2} - 225 d x

Apply u-substitution

= \int_{0}^{8} u^{2} d u

Apply the Power Rule

= [\frac{u ^{3}}{3}]_{0}^{8}

Compute the boundaries:

\frac{512}{3}

= \frac{512}{3}

What is the integral from 15 to 17 of xsqrt(x^2-225) ?
The integral from 15 to 17 of xsqrt(x^2-225) is 512/3