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

The integral from 1 to 3 of (x+1)^3 is 60

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

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

60

Solution steps

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

Apply u-substitution

: \int_{2}^{4} u^{3} d u

= \int_{2}^{4} u^{3} d u

Apply the Power Rule

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

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

Compute the boundaries:

60

= 60

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What is the integral from 1 to 3 of (x+1)^3 ?
The integral from 1 to 3 of (x+1)^3 is 60