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Popular >

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

Solution

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

Solution

\frac{1}{2}

+1

Decimal

0.5

Solution steps

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

Eliminate Absolutes

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

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

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

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

Simplify

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

= \frac{1}{2}

Graph

Popular Examples

integral from-2 to 2 of (3x^2+2x)

\int_{- 2}^{2} (3 x^{2} + 2 x) d x

integral from 1 to 2 of 1/(x(1+x^2))

\int_{1}^{2} \frac{1}{x ( 1 + x ^{2} )} d x

integral from 2 to 6 of y/(sqrt(y-2))

\int_{2}^{6} \frac{y}{y - 2} d y

integral from 1 to 2 of (20x^3+6/(x^2))

\int_{1}^{2} (20 x^{3} + \frac{6}{x ^{2}}) d x

integral from 0 to 10 of (10x-x^2)

\int_{0}^{10} (10 x - x^{2}) d x

Frequently Asked Questions (FAQ)

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