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 6x^3-3x

Solution

\int_{0}^{4} 6 x^{3} - 3 x d x

Solution

360

Solution steps

\int_{0}^{4} 6 x^{3} - 3 x 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} 6 x^{3} d x - \int_{0}^{4} 3 x d x

\int_{0}^{4} 6 x^{3} d x = 384

\int_{0}^{4} 3 x d x = 24

= 384 - 24

Simplify

= 360

Graph

Popular Examples

integral from-2 to 3 of 1/(x+3)

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

integral from-1 to 1 of |x|-1

\int_{- 1}^{1} ∣ x ∣ - 1 d x

integral from 0 to 1/2 of sin(pit)

\int_{0}^{\frac{1}{2}} sin (π t) d t

integral from 1 to e of (1+ln(x))/x

\int_{1}^{e} \frac{1 + ln ( x )}{x} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of 6x^3-3x ?
The integral from 0 to 4 of 6x^3-3x is 360