en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of x^2-x^3

Solution

\int_{0}^{1} x^{2} - x^{3} d x

Solution

\frac{1}{12}

+1

Decimal

0.08333 \dots

Solution steps

\int_{0}^{1} x^{2} - 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_{0}^{1} x^{2} d x - \int_{0}^{1} x^{3} d x

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

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

= \frac{1}{3} - \frac{1}{4}

Simplify

\frac{1}{3} - \frac{1}{4} : \frac{1}{12}

= \frac{1}{12}

Graph

Popular Examples

tangent of f(x)=2x^2+1,(-1,3)tangent of

f (x) = 2 x^{2} + 1, (- 1, 3)

derivative of f(x)=(e^x)/(9x^2+2)derivative of

f (x) = \frac{e ^{x}}{9 x ^{2} + 2}

integral of 1/(u^2)

\int \frac{1}{u ^{2}} d u

integral of 4e^{-3x}

\int 4 e^{- 3 x} d x

derivative of x^{1/8}

\frac{d}{d x} (x^{\frac{1}{8}})

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of x^2-x^3 ?
The integral from 0 to 1 of x^2-x^3 is 1/12