en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1000x

Solution

\int 1000 x d x

Solution

500 x^{2} + C

Solution steps

\int 1000 x d x

Take the constant out:

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

= 1000 \cdot \int x d x

Apply the Power Rule

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

= 1000 \cdot \frac{x ^{2}}{2}

Simplify

1000 \cdot \frac{x ^{2}}{2} : 500 x^{2}

= 500 x^{2}

Add a constant to the solution

= 500 x^{2} + C

Graph

Popular Examples

integral from 0 to 1 of (4x)/((x^2+1)^2)

\int_{0}^{1} \frac{4 x}{( x ^{2} + 1 ) ^{2}} d x

limit as x approaches 5 of (3x+5)/(5x+6)

x \to 5 lim (\frac{3 x + 5}{5 x + 6})

integral of 3/((x^2+1)^2)

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

integral of (inx)/(x^2)

\int \frac{in x}{x ^{2}} d x

d/(dt)(3sin^3(t))

\frac{d}{d t} (3 sin^{3} (t))

Frequently Asked Questions (FAQ)

What is the integral of 1000x ?
The integral of 1000x is 500x^2+C