en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5x^{-4}

Solution

\int 5 x^{- 4} d x

Solution

- \frac{5}{3 x ^{3}} + C

Solution steps

\int 5 x^{- 4} d x

Take the constant out:

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

= 5 \cdot \int x^{- 4} d x

Apply the Power Rule

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

= 5 (- \frac{1}{3 x ^{3}})

Simplify

5 (- \frac{1}{3 x ^{3}}) : - \frac{5}{3 x ^{3}}

= - \frac{5}{3 x ^{3}}

Add a constant to the solution

= - \frac{5}{3 x ^{3}} + C

Graph

Popular Examples

tangent of f(x)= 3/x ,\at x=6 tangent of

f (x) = \frac{3}{x}, at x = 6

derivative of 5ln(cos(x))

\frac{d}{d x} (5 ln (cos (x)))

limit as x approaches 0+of 1/(6x)

x \to 0 + lim (\frac{1}{6 x})

limit as x approaches 0 of 2((a^x-1)/x)

x \to 0 lim (2 (\frac{a ^{x} - 1}{x}))

integral from 1 to 12 of 1/(x-10)

\int_{1}^{12} \frac{1}{x - 10} d x

Frequently Asked Questions (FAQ)

What is the integral of 5x^{-4} ?
The integral of 5x^{-4} is -5/(3x^3)+C