en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x+1x

Solution

integral

x + 1 x

Solution

x^{2} + C

Solution steps

\int x + 1 \cdot x d x

Simplify

= \int 2 x d x

Take the constant out:

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

= 2 \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

= x^{2}

Add a constant to the solution

= x^{2} + C

Popular Examples

integral of (sqrt(x^2-81))/(x^4)integral

\frac{x ^{2} - 81}{x ^{4}}

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

\frac{x ^{2} - 1}{x ^{2}}

integral of (x-1)e^x integral

(x - 1) e^{x}

f(x)=arctan(x^{1/2})

f (x) = arctan (x^{\frac{1}{2}})

integral of (x+2)^n integral

(x + 2)^{n}

Frequently Asked Questions (FAQ)

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