What is the integral from 21 to 29 of xsqrt(x^2-441) ?

The integral from 21 to 29 of xsqrt(x^2-441) is 8000/3

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integral from 21 to 29 of xsqrt(x^2-441)

\int_{21}^{29} x x^{2} - 441 d x

\frac{8000}{3}

Decimal

2666.66666 \dots

Solution steps

\int_{21}^{29} x x^{2} - 441 d x

Apply u-substitution

: \int_{0}^{20} u^{2} d u

= \int_{0}^{20} u^{2} d u

Apply the Power Rule

: [\frac{u ^{3}}{3}]_{0}^{20}

= [\frac{u ^{3}}{3}]_{0}^{20}

Compute the boundaries:

\frac{8000}{3}

= \frac{8000}{3}

\int_{0}^{0.1} \frac{1}{x ln ∣ x ∣} d x

\int_{0}^{1} (2 - x)^{2} d x

\int_{4}^{9} (x + \frac{1}{3 x}) d x

\int_{0}^{1} t^{2} + 1 d t

\int_{1}^{e} \frac{1}{x \cdot ln ( x )} d x

What is the integral from 21 to 29 of xsqrt(x^2-441) ?
The integral from 21 to 29 of xsqrt(x^2-441) is 8000/3