What is the integral from 3 to 6 of x^3 ?

The integral from 3 to 6 of x^3 is 1215/4

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integral from 3 to 6 of x^3

\int_{3}^{6} x^{3} d x

\frac{1215}{4}

Decimal

303.75

Solution steps

\int_{3}^{6} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{3}^{6}

= [\frac{x ^{4}}{4}]_{3}^{6}

Compute the boundaries:

\frac{1215}{4}

= \frac{1215}{4}

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

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What is the integral from 3 to 6 of x^3 ?
The integral from 3 to 6 of x^3 is 1215/4