What is the integral of (2x^2)/x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2x^2)/x

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

x^{2} + C

Solution steps

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

Cancel the common factor:

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

\frac{\partial}{\partial x} ((x y)^{- \frac{1}{2}})

f (X) = 2 X - 8, 7, 10

\frac{d}{d x} (- 8 sin (2 x))

g (x) = 2 - x

f (x) = y^{\frac{2}{3}}