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Popular Calculus >

integral from-1 to 0 of x-x^3

Solution

\int_{- 1}^{0} x - x^{3} d x

Solution

- \frac{1}{4}

+1

Decimal

- 0.25

Solution steps

\int_{- 1}^{0} 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_{- 1}^{0} x d x - \int_{- 1}^{0} x^{3} d x

\int_{- 1}^{0} x d x = - \frac{1}{2}

\int_{- 1}^{0} x^{3} d x = - \frac{1}{4}

= - \frac{1}{2} - (- \frac{1}{4})

Simplify

- \frac{1}{2} - (- \frac{1}{4}) : - \frac{1}{4}

= - \frac{1}{4}

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 0 of x-x^3 ?
The integral from-1 to 0 of x-x^3 is -1/4