What is the integral from-4 to 4 of (x-1)^3 ?

The integral from-4 to 4 of (x-1)^3 is -136

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integral from-4 to 4 of (x-1)^3

\int_{- 4}^{4} (x - 1)^{3} d x

- 136

Solution steps

\int_{- 4}^{4} (x - 1)^{3} d x

Apply u-substitution

: \int_{- 5}^{3} u^{3} d u

= \int_{- 5}^{3} u^{3} d u

Apply the Power Rule

: [\frac{u ^{4}}{4}]_{- 5}^{3}

= [\frac{u ^{4}}{4}]_{- 5}^{3}

Compute the boundaries:

- 136

= - 136

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What is the integral from-4 to 4 of (x-1)^3 ?
The integral from-4 to 4 of (x-1)^3 is -136