en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 7x^{-4}

Solution

\int 7 x^{- 4} d x

Solution

- \frac{7}{3 x ^{3}} + C

Solution steps

\int 7 x^{- 4} d x

Take the constant out:

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

= 7 \cdot \int x^{- 4} d x

Apply the Power Rule

= 7 (- \frac{1}{3 x ^{3}})

Simplify

7 (- \frac{1}{3 x ^{3}}) : - \frac{7}{3 x ^{3}}

= - \frac{7}{3 x ^{3}}

Add a constant to the solution

= - \frac{7}{3 x ^{3}} + C

Graph

Popular Examples

integral of cos(2x)(1+5sin(2x))^3

integral of (e^{2x}-3e^x)/(e^x)

integral of x^6

integral of x^7cos(x^8)

integral of x(1-2x)^5

Frequently Asked Questions (FAQ)

What is the integral of 7x^{-4} ?
The integral of 7x^{-4} is -7/(3x^3)+C