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

The integral from-2 to 2 of (x+2)^3 is 64

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

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

64

Solution steps

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

Apply u-substitution

: \int_{0}^{4} u^{3} d u

= \int_{0}^{4} u^{3} d u

Apply the Power Rule

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

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

Compute the boundaries:

64

= 64

\int_{- \infty}^{- 2} 3 e^{x} d x

\int_{5}^{\infty} \frac{5}{x} d x

\int_{- 1}^{1} 2 x^{2} - x^{3} d x

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

\int_{0}^{\frac{1}{2}} \frac{2}{81 + 4 x ^{2}} d x

What is the integral from-2 to 2 of (x+2)^3 ?
The integral from-2 to 2 of (x+2)^3 is 64