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 (4-3x^2)

Solution

\int_{0}^{1} (4 - 3 x^{2}) d x

Solution

3

Solution steps

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

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

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

= 4 - 1

Simplify

= 3

Popular Examples

integral from 0 to y of ln(y)

\int_{0}^{y} ln (y) d y

integral from 0 to 8 of 2x^2-24x+70

\int_{0}^{8} 2 x^{2} - 24 x + 70 d x

integral from 0 to sqrt(16-z^2 of)z

\int_{0}^{16 - z^{2}} z d z

integral from 9 to 16 of (-x^{-1/2}-5)

\int_{9}^{16} (- x^{- \frac{1}{2}} - 5) d x

integral from 1 to 4 of (x^3-6x+5)/x

\int_{1}^{4} \frac{x ^{3} - 6 x + 5}{x} d x

Frequently Asked Questions (FAQ)

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