en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 3y

Solution

\int 3 y d y

Solution

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

Solution steps

\int 3 y d y

Take the constant out:

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

= 3 \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

area y=x,y=(7.25x)/(x^2+1)area

y = x, y = \frac{7.25 x}{x ^{2} + 1}

derivative of f(x)=e^x(1-x)derivative of

f (x) = e^{x} (1 - x)

limit as x approaches infinity of 3+1/x

x \to \infty lim (3 + \frac{1}{x})

derivative of-y/(x+y^2)

\frac{d}{d x} (- \frac{y}{x + y ^{2}})

integral of (sin(t))/(cos^2(t))

\int \frac{sin ( t )}{cos ^{2} ( t )} d t

Frequently Asked Questions (FAQ)

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