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Popular >

integral from-1 to 2 of |x^2-1|

Solution

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

Solution

\frac{8}{3}

+1

Decimal Notation

2.66666 \dots

Solution steps

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

Eliminate Absolutes

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

\int_{- 1}^{1} - x^{2} + 1 d x = \frac{4}{3}

\int_{1}^{2} x^{2} - 1 d x = \frac{4}{3}

= \frac{4}{3} + \frac{4}{3}

Simplify

\frac{4}{3} + \frac{4}{3} : \frac{8}{3}

= \frac{8}{3}

Popular Examples

integral from-x to x of sqrt(x^2+y^2)

\int_{- x}^{x} x^{2} + y^{2} d y

integral from-1 to 1 of e^{-|x|}

\int_{- 1}^{1} e^{- ∣ x ∣} d x

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

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

integral from 0 to 5 of y

\int_{0}^{5} y d y

integral from-4 to infinity of 1/(x+6)

\int_{- 4}^{\infty} \frac{1}{x + 6} d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 2 of |x^2-1| ?
The integral from-1 to 2 of |x^2-1| is 8/3