en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

6

Solution steps

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

\int_{- 1}^{2} 4 x^{3} d x = 15

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

= 15 - 9

Simplify

= 6

Popular Examples

integral of sin(3x)+e^{2x}

\int sin (3 x) + e^{2 x} d x

integral of ((xsin^2(x))/2)

\int (\frac{x sin ^{2} ( x )}{2}) d x

limit as x approaches 0+of x^{(x^2)}

x \to 0 + lim (x^{(x^{2})})

limit as h approaches 0 of h^2

h \to 0 lim (h^{2})

laplacetransform 10t^3 laplace transform

10 t^{3}

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of 4x^3-3x^2 ?
The integral from-1 to 2 of 4x^3-3x^2 is 6