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Popular Calculus >

integral from-2 to 0 of (x^4-2x)

Solution

\int_{- 2}^{0} (x^{4} - 2 x) d x

Solution

\frac{52}{5}

+1

Decimal

10.4

Solution steps

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

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

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

= \frac{32}{5} - (- 4)

Simplify

\frac{32}{5} - (- 4) : \frac{52}{5}

= \frac{52}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-2 to 0 of (x^4-2x) ?
The integral from-2 to 0 of (x^4-2x) is 52/5