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 4-4x^3

Solution

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

Solution

3

Solution steps

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

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

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

= 4 - 1

Simplify

= 3

Graph

Popular Examples

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

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

integral from 0 to 1 of (2x-2)

\int_{0}^{1} (2 x - 2) d x

integral from 2 to 5 of e

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

integral from 4 to 8 of (4-x)(x-8)

\int_{4}^{8} (4 - x) (x - 8) d x

integral from 0 to pi of (7e^x+6sin(x))

\int_{0}^{π} (7 e^{x} + 6 sin (x)) d x

Frequently Asked Questions (FAQ)

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