What is the integral from 4 to 12 of x^2 ?

The integral from 4 to 12 of x^2 is 1664/3

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integral from 4 to 12 of x^2

\int_{4}^{12} x^{2} d x

\frac{1664}{3}

Decimal

554.66666 \dots

Solution steps

\int_{4}^{12} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{4}^{12}

= [\frac{x ^{3}}{3}]_{4}^{12}

Compute the boundaries:

\frac{1664}{3}

= \frac{1664}{3}

\int_{1}^{4} 3 x^{2} - 1 d x

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\int_{0}^{4} 7 x^{2} d x

\int_{1}^{2} (ln (x)) d x

\int_{0}^{π} 6 sin (2 x) d x

What is the integral from 4 to 12 of x^2 ?
The integral from 4 to 12 of x^2 is 1664/3