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Popular Calculus >

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

Solution

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

Solution

- \frac{8}{5}

+1

Decimal

- 1.6

Solution steps

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

\int_{0}^{2} x^{4} d x = \frac{32}{5}

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

= \frac{32}{5} - 8

Simplify

\frac{32}{5} - 8 : - \frac{8}{5}

= - \frac{8}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^4-2x^3 ?
The integral from 0 to 2 of x^4-2x^3 is -8/5