en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1 (8x)

Solution

\int \frac{d}{1} (8 x) d x

Solution

4 d x^{2} + C

Solution steps

\int \frac{d}{1} \cdot 8 x d x

Take the constant out:

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

= d \cdot 8 \cdot \int x d x

Apply the Power Rule

= d \cdot 8 \cdot \frac{x ^{2}}{2}

Simplify

d \cdot 8 \cdot \frac{x ^{2}}{2} : 4 d x^{2}

= 4 d x^{2}

Add a constant to the solution

= 4 d x^{2} + C

Graph

Popular Examples

integral of (sqrt(x))/(2(x+1))

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

integral of sin(pix)sin(2pix)

\int sin (π x) sin (2 π x) d x

integral of x^{1/4}+1

\int x^{\frac{1}{4}} + 1 d x

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

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

integral of x^2-2x-1

\int x^{2} - 2 x - 1 d x

Frequently Asked Questions (FAQ)

What is the integral of 1 (8x) ?
The integral of 1 (8x) is 4dx^2+C