What is the integral from 24 to 25 of xsqrt(x^2-576) ?

The integral from 24 to 25 of xsqrt(x^2-576) is 343/3

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integral from 24 to 25 of xsqrt(x^2-576)

\int_{24}^{25} x x^{2} - 576 d x

\frac{343}{3}

Decimal

114.33333 \dots

Solution steps

\int_{24}^{25} x x^{2} - 576 d x

Apply u-substitution

: \int_{0}^{7} u^{2} d u

= \int_{0}^{7} u^{2} d u

Apply the Power Rule

: [\frac{u ^{3}}{3}]_{0}^{7}

= [\frac{u ^{3}}{3}]_{0}^{7}

Compute the boundaries:

\frac{343}{3}

= \frac{343}{3}

\int_{- 1}^{3} 3 x^{2} - 6 x d x

\int_{0}^{3} \frac{x ^{2}}{3} d x

\int_{1}^{0} \frac{1}{x} d x

\int_{1}^{3} 3^{5 x} d x

\int_{0}^{π} 1 + sin (t) cos (t) d t

What is the integral from 24 to 25 of xsqrt(x^2-576) ?
The integral from 24 to 25 of xsqrt(x^2-576) is 343/3