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

The integral from 1 to 2 of 2x^3+2x^{-2} is 17/2

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^3+2x^{-2}

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

\frac{17}{2}

Decimal

8.5

Solution steps

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

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

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

= \frac{15}{2} + 1

Simplify

\frac{15}{2} + 1 : \frac{17}{2}

= \frac{17}{2}

\int_{3}^{7} x e^{- 2 x} d x

\int_{1}^{\frac{3}{2}} 3 y - 2 y^{2} d y

\int_{5}^{8} \frac{30}{x} d x

\int_{0}^{π} - 0.1 cos (x) sin (x) d x

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

What is the integral from 1 to 2 of 2x^3+2x^{-2} ?
The integral from 1 to 2 of 2x^3+2x^{-2} is 17/2