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Popular >

integral from-1 to 3 of (x^2-2)

Solution

\int_{- 1}^{3} (x^{2} - 2) d x

Solution

\frac{4}{3}

+1

Decimal

1.33333 \dots

Solution steps

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

\int_{- 1}^{3} x^{2} d x = \frac{28}{3}

\int_{- 1}^{3} 2 d x = 8

= \frac{28}{3} - 8

Simplify

\frac{28}{3} - 8 : \frac{4}{3}

= \frac{4}{3}

Graph

Popular Examples

integral from 0 to 9 of x^2-4

\int_{0}^{9} x^{2} - 4 d x

integral from-2 to 3 of (x+2)-(x^2-4)

\int_{- 2}^{3} (x + 2) - (x^{2} - 4) d x

integral from 0 to 2 of 12

\int_{0}^{2} 12 d x

integral from 0 to 5 of 2te^{-t^2}

\int_{0}^{5} 2 t e^{- t^{2}} d t

integral from-1 to 1 of (x^3-1)

\int_{- 1}^{1} (x^{3} - 1) d x

Frequently Asked Questions (FAQ)

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