en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4/(x^3)

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= 4 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= 4 (- \frac{1}{2 x ^{2}})

Simplify

4 (- \frac{1}{2 x ^{2}}) : - \frac{2}{x ^{2}}

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

Add a constant to the solution

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

Popular Examples

(\partial)/(\partial y)(y^2z^3)

\frac{\partial}{\partial y} (y^{2} z^{3})

integral from 1 to 2 of x^2ln(x)

\int_{1}^{2} x^{2} ln (x) d x

derivative of f(x)=(3x^4+7)^6 derivative of

f (x) = (3 x^{4} + 7)^{6}

derivative of (2x^3/((x^2+1)^2))

\frac{d}{d x} (\frac{2 x ^{3}}{( x ^{2} + 1 ) ^{2}})

derivative of (2xy/(1+x^2))

\frac{d}{d x} (\frac{2 x y}{1 + x ^{2}})

Frequently Asked Questions (FAQ)

What is the integral of 4/(x^3) ?
The integral of 4/(x^3) is -2/(x^2)+C