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Popular >

integral from-2 to 2 of 2x-4

Solution

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

Solution

- 16

Solution steps

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

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

\int_{- 2}^{2} 4 d x = 16

= 0 - 16

Simplify

= - 16

Graph

Popular Examples

integral from-1 to 0 of (x^2)

\int_{- 1}^{0} (x^{2}) d x

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\int_{0}^{2} x (8 x - 2 x) d x

integral from 0 to 2 of (6-3x)

\int_{0}^{2} (6 - 3 x) d x

integral from 0 to 3 of (x^2)/(x^3+2)

\int_{0}^{3} \frac{x ^{2}}{x ^{3} + 2} d x

integral from 0 to 2pi of sin(θ/2)

\int_{0}^{2 π} sin (\frac{θ}{2}) d θ

Frequently Asked Questions (FAQ)

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