en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 6y^{-4}

Solution

\int 6 y^{- 4} d y

Solution

- \frac{2}{y ^{3}} + C

Solution steps

\int 6 y^{- 4} d y

Take the constant out:

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

= 6 \cdot \int y^{- 4} d y

Apply the Power Rule

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

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

Simplify

6 (- \frac{1}{3 y ^{3}}) : - \frac{2}{y ^{3}}

= - \frac{2}{y ^{3}}

Add a constant to the solution

= - \frac{2}{y ^{3}} + C

Popular Examples

area 5x-x^2,(4,4)area

5 x - x^{2}, (4, 4)

integral of sqrt(5-2x)

\int 5 - 2 x d x

limit as t approaches 0 of cos(t)

t \to 0 lim (cos (t))

integral of-cos(x)+sin(x)+1

\int - cos (x) + sin (x) + 1 d x

sum from n=2 to infinity of 5(-1/3)^n

n = 2 \sum \infty 5 (- \frac{1}{3})^{n}

Frequently Asked Questions (FAQ)

What is the integral of 6y^{-4} ?
The integral of 6y^{-4} is -2/(y^3)+C