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

The integral from-1 to 2 of 2x^2-2x^3+4x is 9/2

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 2x^2-2x^3+4x

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

\frac{9}{2}

Decimal

4.5

Solution steps

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

\int_{- 1}^{2} 2 x^{2} d x = 6

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

\int_{- 1}^{2} 4 x d x = 6

= 6 - \frac{15}{2} + 6

Simplify

6 - \frac{15}{2} + 6 : \frac{9}{2}

= \frac{9}{2}

\int_{- \infty}^{3} e^{- x} d x

\int_{- 5}^{6} (∣ x ∣) d x

\int_{1}^{2} (x^{2} + y^{2}) d y

\int_{1}^{3} (6 - 2 x) d x

\int_{1}^{3} x^{2} \cdot ln (x) d x

What is the integral from-1 to 2 of 2x^2-2x^3+4x ?
The integral from-1 to 2 of 2x^2-2x^3+4x is 9/2