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Popular >

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

Solution

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

Solution

\frac{1}{2}

+1

Decimal Notation

0.5

Solution steps

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

Eliminate Absolutes

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

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

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

= \frac{1}{4} + \frac{1}{4}

Simplify

\frac{1}{4} + \frac{1}{4} : \frac{1}{2}

= \frac{1}{2}

Popular Examples

integral of (sin^2(x))/4

\int \frac{sin ^{2} ( x )}{4} d x

integral from 0 to infinity of sin^2(x)

\int_{0}^{\infty} sin^{2} (x) d x

limit as x approaches 5 of (3x^2-x-2)0

x \to 5 lim ((3 x^{2} - x - 2) 0)

derivative of f(x)=arccsc(2x^4-5)derivative of

f (x) = arccsc (2 x^{4} - 5)

integral from 1 to 2 of ((x-4)^2)/(x^5)

\int_{1}^{2} \frac{( x - 4 ) ^{2}}{x ^{5}} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of |x^3-x| ?
The integral from-1 to 1 of |x^3-x| is 1/2