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Popular >

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

Solution

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

Solution

2

Solution steps

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

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

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

= 4 - 2

Simplify

= 2

Popular Examples

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\int_{6}^{10} 1 x^{- 2} d x

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\int_{1}^{e} \frac{x ^{2} + 4}{x} d x

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\int_{- 1}^{0} 7 cos (nπ x) d x

integral from 0 to pi of (3+sin(x))

\int_{0}^{π} (3 + sin (x)) d x

Frequently Asked Questions (FAQ)

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