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Popular >

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

Solution

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

Solution

\frac{1}{4}

+1

Decimal

0.25

Solution steps

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

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

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

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

Simplify

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

= \frac{1}{4}

Graph

Popular Examples

integral from-3 to-1 of sqrt(x^2+x+1/4)

\int_{- 3}^{- 1} x^{2} + x + \frac{1}{4} d x

integral from 0 to infinity of e^{-66x}x

\int_{0}^{\infty} e^{- 66 x} x d x

integral from-pi/4 to pi/4 of-cos(x)

\int_{- \frac{π}{4}}^{\frac{π}{4}} - cos (x) d x

integral from 0 to 1 of 1+x

\int_{0}^{1} 1 + x d x

integral from 0 to 2 of (x^2)/(2+x^3)

\int_{0}^{2} \frac{x ^{2}}{2 + x ^{3}} d x

Frequently Asked Questions (FAQ)

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