What is the integral from-2 to 1 of (x+1)^3 ?

The integral from-2 to 1 of (x+1)^3 is 15/4

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integral from-2 to 1 of (x+1)^3

\int_{- 2}^{1} (x + 1)^{3} d x

\frac{15}{4}

Decimal

3.75

Solution steps

\int_{- 2}^{1} (x + 1)^{3} d x

Apply u-substitution

= \int_{- 1}^{2} u^{3} d u

Apply the Power Rule

= [\frac{u ^{4}}{4}]_{- 1}^{2}

Compute the boundaries:

\frac{15}{4}

= \frac{15}{4}

What is the integral from-2 to 1 of (x+1)^3 ?
The integral from-2 to 1 of (x+1)^3 is 15/4