en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

= 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

Popular Examples

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

\int cos (2 x) (1 + 5 sin (2 x))^{3} d x

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

\int \frac{e ^{2 x} - 3 e ^{x}}{e ^{x}} d x

integral of x^4e^{x^3}

\int x^{4} e^{x^{3}} d x

integral of e^{-st}(sin(t))

\int e^{- s t} (sin (t)) d t

integral of x^6 integral

x^{6}

Frequently Asked Questions (FAQ)

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