en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3x^{-4}

Solution

\int 3 x^{- 4} d x

Solution

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

Solution steps

\int 3 x^{- 4} d x

Take the constant out:

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

= 3 \cdot \int x^{- 4} d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (cos(x/2))

\int (cos (\frac{x}{2})) d x

(\partial)/(\partial x)(cos(y)-x+2y)

\frac{\partial}{\partial x} (cos (y) - x + 2 y)

integral of (-y/(x^2+y^2))

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

integral of ln(2+x^2)

\int ln (2 + x^{2}) d x

integral from 0 to 8 of 1/(sqrt(64+t^2))

\int_{0}^{8} \frac{1}{64 + t ^{2}} d t

Frequently Asked Questions (FAQ)

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