en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1/(3x^3)

Solution

\int \frac{1}{3 x ^{3}} d x

Solution

- \frac{1}{6 x ^{2}} + C

Solution steps

\int \frac{1}{3 x ^{3}} d x

Take the constant out:

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

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

Apply the Power Rule

= \frac{1}{3} (- \frac{1}{2 x ^{2}})

Simplify

\frac{1}{3} (- \frac{1}{2 x ^{2}}) : - \frac{1}{6 x ^{2}}

= - \frac{1}{6 x ^{2}}

Add a constant to the solution

= - \frac{1}{6 x ^{2}} + C

Graph

Popular Examples

integral of (1 (x))

derivative of y=x2^x

y^{''}+25y=cos(5x)

derivative of (x-2(x^2+4))

integral of ln(x^2+13x+42)

Frequently Asked Questions (FAQ)

What is the integral of 1/(3x^3) ?
The integral of 1/(3x^3) is -1/(6x^2)+C