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 4 of 48-3x^2

Solution

\int_{0}^{4} 48 - 3 x^{2} d x

Solution

128

Solution steps

\int_{0}^{4} 48 - 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}^{4} 48 d x - \int_{0}^{4} 3 x^{2} d x

\int_{0}^{4} 48 d x = 192

\int_{0}^{4} 3 x^{2} d x = 64

= 192 - 64

Simplify

= 128

Graph

Popular Examples

integral from 1 to 3 of (9-x^2)

\int_{1}^{3} (9 - x^{2}) d x

integral from 2 to-1 of 1/(4-x)

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

integral from 0.1 to 3 of xcos(1/x)

\int_{0.1}^{3} x cos (\frac{1}{x}) d x

integral from-1 to 3 of x^3-4x^2+5

\int_{- 1}^{3} x^{3} - 4 x^{2} + 5 d x

integral from 0 to 1 of tsqrt(1+16t^2)

\int_{0}^{1} t 1 + 16 t^{2} d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 48-3x^2 ?
The integral from 0 to 4 of 48-3x^2 is 128