What is the integral from 1 to 3 of (u-2)^4 ?

The integral from 1 to 3 of (u-2)^4 is 2/5

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integral from 1 to 3 of (u-2)^4

\int_{1}^{3} (u - 2)^{4} d u

\frac{2}{5}

Decimal Notation

0.4

Solution steps

\int_{1}^{3} (u - 2)^{4} d u

Apply u-substitution

: \int_{- 1}^{1} v^{4} d v

= \int_{- 1}^{1} v^{4} d v

Apply the Power Rule

: [\frac{v ^{5}}{5}]_{- 1}^{1}

= [\frac{v ^{5}}{5}]_{- 1}^{1}

Compute the boundaries:

\frac{2}{5}

= \frac{2}{5}

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What is the integral from 1 to 3 of (u-2)^4 ?
The integral from 1 to 3 of (u-2)^4 is 2/5