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 2 of x^3-x^2

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

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

\int_{0}^{2} x^{2} d x = \frac{8}{3}

= 4 - \frac{8}{3}

Simplify

4 - \frac{8}{3} : \frac{4}{3}

= \frac{4}{3}

Popular Examples

integral of 5arctan(2y)

\int 5 arctan (2 y) d y

(\partial)/(\partial x)(ln(2+x^2+2y^2))

\frac{\partial}{\partial x} (ln (2 + x^{2} + 2 y^{2}))

integral of-1/4

\int - \frac{1}{4} d x

integral of t*sin(t^2)

\int t \cdot sin (t^{2}) d t

derivative of-sin(x-2)

\frac{d}{d x} (- sin (x - 2))

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of x^3-x^2 ?
The integral from 0 to 2 of x^3-x^2 is 4/3