en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-20x

Solution

\int - 20 x d x

Solution

- 10 x^{2} + C

Solution steps

\int - 20 x d x

Take the constant out:

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

= - 20 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= - 20 \cdot \frac{x ^{2}}{2}

Simplify

- 20 \cdot \frac{x ^{2}}{2} : - 10 x^{2}

= - 10 x^{2}

Add a constant to the solution

= - 10 x^{2} + C

Popular Examples

t y^{^{'}} + 2 y + t = 0

integral of+cos(θ)cos^5(sin(θ))

\int + cos (θ) cos^{5} (sin (θ)) d θ

x^'= 1/(x^2),x(1)=1

x^{^{'}} = \frac{1}{x ^{2}}, x (1) = 1

derivative of y= 1/(sqrt(a^2-x^2))derivative of

y = \frac{1}{a ^{2} - x ^{2}}

(\partial)/(\partial x)(e^{x/(b(x))})

\frac{\partial}{\partial x} (e^{\frac{x}{b ( x )}})

Frequently Asked Questions (FAQ)

What is the integral of-20x ?
The integral of-20x is -10x^2+C