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Popular >

integral from-1 to 3 of (x^3-2x)

Solution

\int_{- 1}^{3} (x^{3} - 2 x) d x

Solution

12

Solution steps

\int_{- 1}^{3} 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_{- 1}^{3} x^{3} d x - \int_{- 1}^{3} 2 x d x

\int_{- 1}^{3} x^{3} d x = 20

\int_{- 1}^{3} 2 x d x = 8

= 20 - 8

Simplify

= 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 3 of (x^3-2x) ?
The integral from-1 to 3 of (x^3-2x) is 12