en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of-3/(y^4)

Solution

\int - \frac{3}{y ^{4}} d y

Solution

\frac{1}{y ^{3}} + C

Solution steps

\int - \frac{3}{y ^{4}} d y

Take the constant out:

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

= - 3 \cdot \int \frac{1}{y ^{4}} d y

Apply the Power Rule

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

Simplify

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

= \frac{1}{y ^{3}}

Add a constant to the solution

= \frac{1}{y ^{3}} + C

Graph

Popular Examples

integral of 2^x*7^x

integral of sin^3(x)+sin(x)

integral of (-10)/(xsqrt(x+1))

integral of 1/(2x+8)

integral of 4/(\sqrt[3]{x)}-5\sqrt[3]{x^2}

Frequently Asked Questions (FAQ)

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