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Popular Calculus >

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

Solution

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

Solution

4

Solution steps

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

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

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

= 8 - 4

Simplify

= 4

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (2x^3-2x) ?
The integral from 0 to 2 of (2x^3-2x) is 4