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Popular >

integral from-1 to 1 of (x^2-1)

Solution

\int_{- 1}^{1} (x^{2} - 1) d x

Solution

- \frac{4}{3}

+1

Decimal Notation

- 1.33333 \dots

Solution steps

\int_{- 1}^{1} 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_{- 1}^{1} x^{2} d x - \int_{- 1}^{1} 1 d x

\int_{- 1}^{1} x^{2} d x = \frac{2}{3}

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

= \frac{2}{3} - 2

Simplify

\frac{2}{3} - 2 : - \frac{4}{3}

= - \frac{4}{3}

Popular Examples

(\partial)/(\partial z)(sin(x+2y+3z))

\frac{\partial}{\partial z} (sin (x + 2 y + 3 z))

derivative of f(x)=6x^2(x-9)derivative of

f (x) = 6 x^{2} (x - 9)

(\partial)/(\partial x)(2/(x^3))

\frac{\partial}{\partial x} (\frac{2}{x ^{3}})

integral of (sqrt(4x^2-9))/x

\int \frac{4 x ^{2} - 9}{x} d x

limit as x approaches 2 of (x^2-4)/(2-x)

x \to 2 lim (\frac{x ^{2} - 4}{2 - x})

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (x^2-1) ?
The integral from-1 to 1 of (x^2-1) is -4/3