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Popular Calculus >

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

Solution

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

Solution

18

Solution steps

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

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

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

= 20 - 2

Simplify

= 18

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 1 to 3 of (x^3-1) ?
The integral from 1 to 3 of (x^3-1) is 18