en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of y^2-2

Solution

\int y^{2} - 2 d y

Solution

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

Solution steps

\int y^{2} - 2 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y^{2} d y - \int 2 d y

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

\int 2 d y = 2 y

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

Add a constant to the solution

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

Graph

Popular Examples

integral of 1/(4xlog_{7)(x)}

\int \frac{1}{4 x lo g _{7} ( x )} d x

integral of 24-8x

\int 24 - 8 x d x

integral of 300-0.2x

\int 300 - 0.2 x d x

integral of (x^2-9)/x

\int \frac{x ^{2} - 9}{x} d x

integral of (sqrt(x)+7x-2)

\int (x + 7 x - 2) d x

Frequently Asked Questions (FAQ)

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