en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5/(6x^4)

Solution

\int \frac{5}{6 x ^{4}} d x

Solution

- \frac{5}{18 x ^{3}} + C

Solution steps

\int \frac{5}{6 x ^{4}} d x

Take the constant out:

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

= \frac{5}{6} \cdot \int \frac{1}{x ^{4}} d x

Apply the Power Rule

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

= \frac{5}{6} (- \frac{1}{3 x ^{3}})

Simplify

\frac{5}{6} (- \frac{1}{3 x ^{3}}) : - \frac{5}{18 x ^{3}}

= - \frac{5}{18 x ^{3}}

Add a constant to the solution

= - \frac{5}{18 x ^{3}} + C

Graph

Popular Examples

integral of 3cos(x)sqrt(1-9sin^2(x))

\int 3 cos (x) 1 - 9 sin^{2} (x) d x

integral of 7/(cos^2(x))

\int \frac{7}{cos ^{2} ( x )} d x

integral of-4xe^{-2x}

\int - 4 x e^{- 2 x} d x

integral of xsqrt(2x+c)

\int x 2 x + c d x

integral of (w^4)/(1+aw^5)

\int \frac{w ^{4}}{1 + a w ^{5}} d w

Frequently Asked Questions (FAQ)

What is the integral of 5/(6x^4) ?
The integral of 5/(6x^4) is -5/(18x^3)+C