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Popular Calculus >

integral of x^2-1

Solution

integral

x^{2} - 1

Solution

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

Solution steps

\int x^{2} - 1 d x

Apply the Sum Rule:

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

= \int x^{2} d x - \int 1 d x

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

\int 1 d x = x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of x/((x^3+1))

in t e g r a l \frac{x}{( x ^{3} + 1 )}

integral of 1/((x-x^2))

in t e g r a l \frac{1}{( x - x ^{2} )}

integral of sin(2x^2)

in t e g r a l sin (2 x^{2})

integral of ((x+1)^3)/(x^3)

in t e g r a l \frac{( x + 1 ) ^{3}}{x ^{3}}

integral of y=x^2+x-12

in t e g r a l y = x^{2} + x - 12

Frequently Asked Questions (FAQ)

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