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Popular >

integral from-1 to 1 of x^2-2

Solution

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

Solution

- \frac{10}{3}

+1

Decimal Notation

- 3.33333 \dots

Solution steps

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

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

\int_{- 1}^{1} 2 d x = 4

= \frac{2}{3} - 4

Simplify

\frac{2}{3} - 4 : - \frac{10}{3}

= - \frac{10}{3}

Popular Examples

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x^{2} y^{^{''}} + 10 x y^{^{'}} + 8 y = x^{2}

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\int_{3}^{5} \frac{x ^{2} + 1}{x} d x

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of x^2-2 ?
The integral from-1 to 1 of x^2-2 is -10/3