en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (8+x)

Solution

\int (8 + x) d x

Solution

8 x + \frac{x ^{2}}{2} + C

Solution steps

\int 8 + x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 8 d x + \int x d x

\int 8 d x = 8 x

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

= 8 x + \frac{x ^{2}}{2}

Add a constant to the solution

= 8 x + \frac{x ^{2}}{2} + C

Graph

Popular Examples

implicit (dy)/(dx),x^2y+xy^2=6

im pl i c i t \frac{d y}{d x}, x^{2} y + x y^{2} = 6

integral of 1/(3-4x)

\int \frac{1}{3 - 4 x} d x

derivative of sqrt(x/(9.8))

\frac{d}{d x} (\frac{x}{9.8})

implicit (dy)/(dx),sin(x+y)=3x-2y

im pl i c i t \frac{d y}{d x}, sin (x + y) = 3 x - 2 y

laplacetransform (t-1)cos(4(t-1))+t^2

l a pl a ce t r an s f or m (t - 1) cos (4 (t - 1)) + t^{2}

Frequently Asked Questions (FAQ)

What is the integral of (8+x) ?
The integral of (8+x) is 8x+(x^2)/2+C