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Popular Calculus >

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

Solution

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

Solution

0

Solution steps

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

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

\int_{0}^{2} x^{3} d x = 4

= 4 - 4

Simplify

= 0

Graph

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Frequently Asked Questions (FAQ)

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