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

The integral from-sqrt(2) to sqrt(2 of)x^2-2 is (4sqrt(2))/3-4sqrt(2)

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integral from-sqrt(2) to sqrt(2 of)x^2-2

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

\frac{4 2}{3} - 42

Decimal

- 3.77123 \dots

Solution steps

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

\int_{- 2}^{2} x^{2} d x = \frac{4 2}{3}

\int_{- 2}^{2} 2 d x = 42

= \frac{4 2}{3} - 42

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