What is the integral from 2 to 6 of 5x ?

The integral from 2 to 6 of 5x is 80

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 6 of 5x

\int_{2}^{6} 5 x d x

80

Solution steps

\int_{2}^{6} 5 x d x

Take the constant out:

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

= 5 \cdot \int_{2}^{6} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{6}

= 5 [\frac{x ^{2}}{2}]_{2}^{6}

Compute the boundaries:

16

= 5 \cdot 16

Simplify

= 80

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

\int_{0}^{l n (u)} 2 e^{- 2 y} d y

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

\int_{1}^{\infty} e^{- a x} d x

\int_{- 200}^{200} 2 x^{5} d x