What is the integral of (2x)/(y^3) ?

The integral of (2x)/(y^3) is (x^2)/(y^3)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2x)/(y^3)

\int \frac{2 x}{y ^{3}} d x

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

Solution steps

\int \frac{2 x}{y ^{3}} d x

Take the constant out:

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

= \frac{2}{y ^{3}} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{2}{y ^{3}} \cdot \frac{x ^{2}}{2}

Simplify

\frac{2}{y ^{3}} \cdot \frac{x ^{2}}{2} : \frac{x ^{2}}{y ^{3}}

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

Add a constant to the solution

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

\int \frac{1}{8 x + 2} d x

\int \frac{1}{x ^{2}} cos (\frac{1}{x}) d x

\int (z + 1) e^{9 z} d z

\int \frac{x ^{3}}{3 + 3 x ^{2}} d x

\int \frac{1 + x}{1 - x ^{2}} d x

What is the integral of (2x)/(y^3) ?
The integral of (2x)/(y^3) is (x^2)/(y^3)+C