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Popular >

integral from-2 to 2 of 4x-x^2

Solution

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

Solution

- \frac{16}{3}

+1

Decimal

- 5.33333 \dots

Solution steps

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

\int_{- 2}^{2} 4 x d x = 0

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

= 0 - \frac{16}{3}

Simplify

= - \frac{16}{3}

Graph

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

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 2 of 4x-x^2 ?
The integral from-2 to 2 of 4x-x^2 is -16/3