What is the integral of sqrt(2)x ?

The integral of sqrt(2)x is (x^2)/(sqrt(2))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sqrt(2)x

\int 2 x d x

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

Solution steps

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

Simplify

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

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

Add a constant to the solution

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

\int x^{3} (1 - 4 x^{2})^{\frac{3}{2}} d x

\int (cos (x + 4 y) - 2 x z) d x

\int \frac{8}{x ^{3} - 4 x} d x

\int \frac{2 y + 6}{y + 3} d y

\int x^{2} e^{\frac{- x ^{2}}{2}} d x

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