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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

integral of pi^2

\int π^{2} d x

derivative of \sqrt[5]{u}derivative of

limit as x approaches 3 of x^2+3

x \to 3 lim (x^{2} + 3)

(dy)/(dx)=yx^3sin(x^4)

\frac{d y}{d x} = y x^{3} sin (x^{4})

(dx)/(dt)+(2x)/(300+t)=6

\frac{d x}{d t} + \frac{2 x}{300 + t} = 6

Frequently Asked Questions (FAQ)

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