en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(3x^4)

Solution

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

Solution

- \frac{1}{9 x ^{3}} + C

Solution steps

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

Apply the Power Rule

: - \frac{1}{3 x ^{3}}

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

Simplify

\frac{1}{3} (- \frac{1}{3 x ^{3}}) : - \frac{1}{9 x ^{3}}

= - \frac{1}{9 x ^{3}}

Add a constant to the solution

= - \frac{1}{9 x ^{3}} + C

Graph

Popular Examples

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

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

integral from 1 to 100 of (29)/(x^3)

\int_{1}^{100} \frac{29}{x ^{3}} d x

(\partial}{\partial t}(\frac{s-3r)/t)

\frac{\partial}{\partial t} (\frac{s - 3 r}{t})

limit as x approaches 0 of 3^{1/x}

x \to 0 lim (3^{\frac{1}{x}})

(\partial)/(\partial x)(sinh(x^2y))

\frac{\partial}{\partial x} (sinh (x^{2} y))

Frequently Asked Questions (FAQ)

What is the integral of 1/(3x^4) ?
The integral of 1/(3x^4) is -1/(9x^3)+C