en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of y+y

Solution

\int y + y d y

Solution

y^{2} + C

Solution steps

\int y + y d y

Simplify

= \int 2 y d y

Take the constant out:

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

= 2 \cdot \int y d y

Apply the Power Rule

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

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

Simplify

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

= y^{2}

Add a constant to the solution

= y^{2} + C

Popular Examples

integral of 3xe^{-4x}

\int 3 x e^{- 4 x} d x

integral of (8x^2+5x+77)/((x+1)(x^2+9))

\int \frac{8 x ^{2} + 5 x + 77}{( x + 1 ) ( x ^{2} + 9 )} d x

integral of (7x+5)/((x-2)(1-x))

\int \frac{7 x + 5}{( x - 2 ) ( 1 - x )} d x

integral of 1/(cos^3(x)sin(x))

\int \frac{1}{cos ^{3} ( x ) sin ( x )} d x

integral of ((e^{2x}+1)^2)/(e^x)

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

Frequently Asked Questions (FAQ)

What is the integral of y+y ?
The integral of y+y is y^2+C