en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

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 0.1 to 3 of xcos(1/x)

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

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

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

integral from 0 to 6 of (2x)/(x^2+1)

\int_{0}^{6} \frac{2 x}{x ^{2} + 1} d x

integral from 3 to 5 of 1/(sqrt(2x-6))

\int_{3}^{5} \frac{1}{2 x - 6} d x

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