What is the integral from-2 to 2 of (x^6-3x^2) ?

The integral from-2 to 2 of (x^6-3x^2) is 144/7

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integral from-2 to 2 of (x^6-3x^2)

\int_{- 2}^{2} (x^{6} - 3 x^{2}) d x

\frac{144}{7}

Decimal Notation

20.57142 \dots

Solution steps

\int_{- 2}^{2} x^{6} - 3 x^{2} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{2} x^{6} d x - \int_{- 2}^{2} 3 x^{2} d x

\int_{- 2}^{2} x^{6} d x = \frac{256}{7}

\int_{- 2}^{2} 3 x^{2} d x = 16

= \frac{256}{7} - 16

Simplify

\frac{256}{7} - 16 : \frac{144}{7}

= \frac{144}{7}

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What is the integral from-2 to 2 of (x^6-3x^2) ?
The integral from-2 to 2 of (x^6-3x^2) is 144/7