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 2 of 4x-x^3

Solution

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

Solution

4

Solution steps

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

\int_{0}^{2} 4 x d x = 8

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

= 8 - 4

Simplify

= 4

Popular Examples

derivative of e^t(cos(t))derivative of

e^{t} (cos (t))

area x=-2,x=2,y=2x^2+5,y=0 area

x = - 2, x = 2, y = 2 x^{2} + 5, y = 0

derivative of sin(-1(6x+1))derivative of

sin (- 1 (6 x + 1))

inverse oflaplace 2/(s(s+2))inverse laplace

\frac{2}{s ( s + 2 )}

integral of (cos(x))/((sin(x))^3)

\int \frac{cos ( x )}{( sin ( x ) ) ^{3}} d x

Frequently Asked Questions (FAQ)

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