en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (y^2-1)

Solution

\int (y^{2} - 1) d y

Solution

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

Solution steps

\int y^{2} - 1 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 1 d y

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

\int 1 d y = y

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

Add a constant to the solution

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

Graph

Popular Examples

area x^3-13x^2+40x,-x^3+13x^2-40x

a re a x^{3} - 13 x^{2} + 40 x, - x^{3} + 13 x^{2} - 40 x

y^{^{'}} = 13 x y - 16 x

integral of ((2x^3+x-1))/(x^3+x^2-4x-4)

\int \frac{( 2 x ^{3} + x - 1 )}{x ^{3} + x ^{2} - 4 x - 4} d x

limit as x approaches 2 of pi^2-2x+5

x \to 2 lim (π^{2} - 2 x + 5)

derivative of x(2x+7)^{2/3}

d er i v a t i v e x (2 x + 7)^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is the integral of (y^2-1) ?
The integral of (y^2-1) is (y^3)/3-y+C