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

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

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integral from 1 to 2 of (x-1)^4

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

\frac{1}{5}

Decimal Notation

0.2

Solution steps

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

Apply u-substitution

: \int_{0}^{1} u^{4} d u

= \int_{0}^{1} u^{4} d u

Apply the Power Rule

: [\frac{u ^{5}}{5}]_{0}^{1}

= [\frac{u ^{5}}{5}]_{0}^{1}

Compute the boundaries:

\frac{1}{5}

= \frac{1}{5}

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