What is the integral from 1 to 3 of 2x ?

The integral from 1 to 3 of 2x is 8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 3 of 2x

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

8

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int_{1}^{3} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{1}^{3}

= 2 [\frac{x ^{2}}{2}]_{1}^{3}

Compute the boundaries:

4

= 2 \cdot 4

Simplify

= 8

\int 2 x y^{3} d x

\int x^{2} cos (3 x) d x

\int \frac{r ^{3}}{16 + r ^{2}} d r

\int_{0}^{6} ∣ x - 4 ∣ d x

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