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Popular Calculus >

integral from 0 to 2 of 4x-x^3

Solution

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

Solution

4

Solution steps

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

\int_{0}^{2} 4 x d x = 8

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

= 8 - 4

Simplify

= 4

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of 4x-x^3 ?
The integral from 0 to 2 of 4x-x^3 is 4