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Popular Calculus >

integral from-2 to 3 of |x^3|

Solution

\int_{- 2}^{3} x^{3} d x

Solution

\frac{97}{4}

+1

Decimal

24.25

Solution steps

\int_{- 2}^{3} x^{3} d x

Eliminate Absolutes

= \int_{- 2}^{0} - x^{3} d x + \int_{0}^{3} x^{3} d x

\int_{- 2}^{0} - x^{3} d x = 4

\int_{0}^{3} x^{3} d x = \frac{81}{4}

= 4 + \frac{81}{4}

Simplify

4 + \frac{81}{4} : \frac{97}{4}

= \frac{97}{4}

Graph

Popular Examples

integral from 0 to pi of (sin(x)-cos(x))

\int_{0}^{π} (sin (x) - cos (x)) d x

integral from 0 to 1 of x/(1+x)

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

integral from-infinity to-1 of xe^{-x^2}

\int_{- \infty}^{- 1} x e^{- x^{2}} d x

integral from 0 to pi/2 of xsin(nx)

\int_{0}^{\frac{π}{2}} x sin (n x) d x

integral from 0 to 3 of x/(x^2+1)

\int_{0}^{3} \frac{x}{x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 3 of |x^3| ?
The integral from-2 to 3 of |x^3| is 97/4