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Popular Calculus >

integral from 0 to 2 of (8-x^3)

Solution

\int_{0}^{2} (8 - x^{3}) d x

Solution

12

Solution steps

\int_{0}^{2} 8 - 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} 8 d x - \int_{0}^{2} x^{3} d x

\int_{0}^{2} 8 d x = 16

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

= 16 - 4

Simplify

= 12

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of (8-x^3) ?
The integral from 0 to 2 of (8-x^3) is 12