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

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

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

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

- 4

Solution steps

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

Apply u-substitution

: \int_{- 2}^{0} u^{3} d u

= \int_{- 2}^{0} u^{3} d u

Apply the Power Rule

: [\frac{u ^{4}}{4}]_{- 2}^{0}

= [\frac{u ^{4}}{4}]_{- 2}^{0}

Compute the boundaries:

- 4

= - 4

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