en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(4x^4)

Solution

\int \frac{1}{4 x ^{4}} d x

Solution

- \frac{1}{12 x ^{3}} + C

Solution steps

\int \frac{1}{4 x ^{4}} d x

Take the constant out:

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

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

Apply the Power Rule

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

= \frac{1}{4} (- \frac{1}{3 x ^{3}})

Simplify

\frac{1}{4} (- \frac{1}{3 x ^{3}}) : - \frac{1}{12 x ^{3}}

= - \frac{1}{12 x ^{3}}

Add a constant to the solution

= - \frac{1}{12 x ^{3}} + C

Popular Examples

derivative of-5x^2-4cos(x)

\frac{d}{d x} (- 5 x^{2} - 4 cos (x))

integral of 2xe^{-8x}

\int 2 x e^{- 8 x} d x

sum from n=0 to infinity of 300(-1.41)^n

n = 0 \sum \infty 300 (- 1.41)^{n}

integral of (sin(20)(x))/(sin(10)(x))

\int \frac{sin ( 20 ) ( x )}{sin ( 10 ) ( x )} d x

derivative of 6cos(3x+3)derivative of

6 cos (3 x + 3)

Frequently Asked Questions (FAQ)

What is the integral of 1/(4x^4) ?
The integral of 1/(4x^4) is -1/(12x^3)+C