What is the integral from 0 to 5 of-3x ?

The integral from 0 to 5 of-3x is -75/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 5 of-3x

\int_{0}^{5} - 3 x d x

- \frac{75}{2}

Solution steps

\int_{0}^{5} - 3 x d x

Take the constant out:

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

= - 3 \cdot \int_{0}^{5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{5}

= - 3 [\frac{x ^{2}}{2}]_{0}^{5}

Compute the boundaries:

\frac{25}{2}

= - 3 \cdot \frac{25}{2}

Simplify

= - \frac{75}{2}

\int_{0}^{8} ∣ x - 4 ∣ d x

\int_{- 2}^{5} 1 d x

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

\int_{0}^{3} x^{2} - 1 d x

\int_{4}^{7} x^{3} d x

What is the integral from 0 to 5 of-3x ?
The integral from 0 to 5 of-3x is -75/2