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Popular >

integral of x^2-1

Solution

\int x^{2} - 1 d x

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

Popular Examples

slope of (-2.5)(-1.2)slope

(- 2.5) (- 1.2)

derivative of y=ln(xsqrt(x^2-4))derivative of

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tangent of f(x)=sqrt(x)+1/(sqrt(x^3))tangent of

f (x) = x + \frac{1}{x ^{3}}

integral of 3/(50+2t)

\int \frac{3}{50 + 2 t} d t

derivative of-2cos(x+3x^3)

\frac{d}{d x} (- 2 cos (x) + 3 x^{3})

Frequently Asked Questions (FAQ)

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