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 4x-4x^2

Solution

\int_{0}^{1} 4 x - 4 x^{2} d x

Solution

\frac{2}{3}

+1

Decimal

0.66666 \dots

Solution steps

\int_{0}^{1} 4 x - 4 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}^{1} 4 x d x - \int_{0}^{1} 4 x^{2} d x

\int_{0}^{1} 4 x d x = 2

\int_{0}^{1} 4 x^{2} d x = \frac{4}{3}

= 2 - \frac{4}{3}

Simplify

2 - \frac{4}{3} : \frac{2}{3}

= \frac{2}{3}

Graph

Popular Examples

integral from-3 to 2 of e^{u+3}

\int_{- 3}^{2} e^{u + 3} d u

integral from 2 to 3 of 3x^2-(x^3)/4

\int_{2}^{3} 3 x^{2} - \frac{x ^{3}}{4} d x

integral from 0 to 0 of sin(x)

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

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

\int_{0}^{2} (2^{x} + 3) d x

integral from-2 to 5 of x^2

\int_{- 2}^{5} x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of 4x-4x^2 ?
The integral from 0 to 1 of 4x-4x^2 is 2/3