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Popular >

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

Solution

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

Solution

16

Solution steps

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

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

\int_{1}^{3} x d x = 4

= 20 - 4

Simplify

= 16

Graph

Popular Examples

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\int_{0}^{\frac{5}{8}} 5 x - 8 x^{2} d x

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\int_{0}^{\frac{π}{6}} x cos (3 x) d x

integral from 0 to 1 of pi(4x^2)^2

\int_{0}^{1} π (4 x^{2})^{2} d x

integral from-1 to 0 of x-x^3

\int_{- 1}^{0} x - x^{3} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x^3-x) ?
The integral from 1 to 3 of (x^3-x) is 16