en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2 1/x

Solution

\int x^{2} \frac{1}{x} d x

Solution

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

Solution steps

\int x^{2} \frac{1}{x} d x

Simplify

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

= \int x d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

integral from 4 to 7 of 1/(x^2-1)

\int_{4}^{7} \frac{1}{x ^{2} - 1} d x

\frac{d y}{d x} = 6 x + 2

(\partial)/(\partial y)(x^5+xy^8+6)

\frac{\partial}{\partial y} (x^{5} + x y^{8} + 6)

y^{^{'}} = x (y + 1)

integral of 1/(25+3x^2)

\int \frac{1}{25 + 3 x ^{2}} d x

Frequently Asked Questions (FAQ)

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