What is the integral from 6 to 0 of x^3 ?

The integral from 6 to 0 of x^3 is -324

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integral from 6 to 0 of x^3

\int_{6}^{0} x^{3} d x

- 324

Solution steps

\int_{6}^{0} x^{3} d x

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

= - \int_{0}^{6} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{0}^{6}

= - [\frac{x ^{4}}{4}]_{0}^{6}

Compute the boundaries:

324

= - 324

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\int_{0.1}^{0.25} \frac{x ^{3} + 1}{6} d x

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

What is the integral from 6 to 0 of x^3 ?
The integral from 6 to 0 of x^3 is -324