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Popular >

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

Solution

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

Solution

- \frac{10}{3}

+1

Decimal Notation

- 3.33333 \dots

Solution steps

\int_{- 1}^{1} t^{2} - 2 d t

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} t^{2} d t - \int_{- 1}^{1} 2 d t

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

\int_{- 1}^{1} 2 d t = 4

= \frac{2}{3} - 4

Simplify

\frac{2}{3} - 4 : - \frac{10}{3}

= - \frac{10}{3}

Popular Examples

limit as x approaches infinity of-5pix

x \to \infty lim (- 5 π x)

tangent of y= 1/(x-8),(-1,-1/9)tangent of

y = \frac{1}{x - 8}, (- 1, - \frac{1}{9})

derivative of x^2-2x-3

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

limit as x approaches 0 of (sin(mx))/x

x \to 0 lim (\frac{sin ( m x )}{x})

integral of x^3+2x^2-3x

\int x^{3} + 2 x^{2} - 3 x d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (t^2-2) ?
The integral from-1 to 1 of (t^2-2) is -10/3