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Popular >

integral from-2 to 0 of 2x^3-8x

Solution

\int_{- 2}^{0} 2 x^{3} - 8 x d x

Solution

8

Solution steps

\int_{- 2}^{0} 2 x^{3} - 8 x 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}^{0} 2 x^{3} d x - \int_{- 2}^{0} 8 x d x

\int_{- 2}^{0} 2 x^{3} d x = - 8

\int_{- 2}^{0} 8 x d x = - 16

= - 8 - (- 16)

Simplify

= 8

Graph

Popular Examples

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\int_{- 4}^{0} (5 + 16 - x^{2}) d x

integral from-1 to 1 of 1/(sqrt(x))

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

integral from 0 to 3 of 2-x

\int_{0}^{3} 2 - x d x

integral from 0 to pi/3 of 1/(cos(x))

\int_{0}^{\frac{π}{3}} \frac{1}{cos ( x )} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 0 of 2x^3-8x ?
The integral from-2 to 0 of 2x^3-8x is 8