en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-0.1x

Solution

\int - 0.1 x d x

Solution

- 0.05 x^{2} + C

Solution steps

\int - 0.1 x d x

Take the constant out:

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

= - 0.1 \cdot \int x d x

Apply the Power Rule

= - 0.1 \cdot \frac{x ^{2}}{2}

Simplify

- 0.1 \cdot \frac{x ^{2}}{2} : - 0.05 x^{2}

= - 0.05 x^{2}

Add a constant to the solution

= - 0.05 x^{2} + C

Graph

Popular Examples

integral of (x^2+3)/(x^2)

integral of (x+2)e^{4x}

integral of 2+ye^{xy}

integral of 4/((1+4x^2)^2)

integral of (2x^2+5)e^{-3x}

Frequently Asked Questions (FAQ)

What is the integral of-0.1x ?
The integral of-0.1x is -0.05x^2+C