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

The integral from-3 to 3 of |x^2-1| is 44/3

Popular >

integral from-3 to 3 of |x^2-1|

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

\frac{44}{3}

Decimal Notation

14.66666 \dots

Solution steps

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

Eliminate Absolutes

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

\int_{- 3}^{- 1} x^{2} - 1 d x = \frac{20}{3}

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

\int_{1}^{3} x^{2} - 1 d x = \frac{20}{3}

= \frac{20}{3} + \frac{4}{3} + \frac{20}{3}

Simplify

\frac{20}{3} + \frac{4}{3} + \frac{20}{3} : \frac{44}{3}

= \frac{44}{3}

\int_{0}^{1} 81 x^{2} + 729 d x

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

\int_{6}^{2} x^{3} d x

\int_{- π}^{0} π sin (n x) d x

\int_{0}^{\frac{1}{2}} \frac{x}{2} d x

What is the integral from-3 to 3 of |x^2-1| ?
The integral from-3 to 3 of |x^2-1| is 44/3