What is the integral from 2 to 4 of-6x ?

The integral from 2 to 4 of-6x is -36

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 4 of-6x

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

- 36

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{2}^{4}

= - 6 [\frac{x ^{2}}{2}]_{2}^{4}

Compute the boundaries:

6

= - 6 \cdot 6

Simplify

= - 36

\int_{0}^{2 π} 2 cos (2 x + 4) d x

\int_{0}^{1} x 4 x - x^{2} d x

\int_{100}^{150} - 6 x^{2} + 20 x d x

\int_{0}^{π} x (sin (x)) d x

\int_{0}^{1.5} \frac{3}{2 x ^{2}} d x