en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1+x

Solution

\int 1 + x d x

Solution

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

Solution steps

\int 1 + 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 1 d x + \int x d x

\int 1 d x = x

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

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

Add a constant to the solution

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

Popular Examples

derivative of (3x+5)^4sqrt(x)derivative of

(3 x + 5)^{4} x

integral of te^{-2}

\int t e^{- 2} d t

derivative of y=-4x^7-1 derivative of

y = - 4 x^{7} - 1

integral of (cos(x)-sin(x))

\int (cos (x) - sin (x)) d x

derivative of 1-1/(sqrt(1-x^2))

\frac{d}{d x} (1 - \frac{1}{1 - x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of 1+x ?
The integral of 1+x is x+(x^2)/2+C