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Popular >

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

Popular Examples

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limit as x approaches 0+of 2x+8

x \to 0 + lim (2 x + 8)

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\frac{d}{d x} (tan (g (x)) (x))

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x \to 4 lim (x^{2} + 3 x - 1)

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