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Popular >

integral from 0 to 4 of |x^2-1|

Solution

\int_{0}^{4} x^{2} - 1 d x

Solution

\frac{56}{3}

+1

Decimal Notation

18.66666 \dots

Solution steps

\int_{0}^{4} x^{2} - 1 d x

Eliminate Absolutes

= \int_{0}^{1} - x^{2} + 1 d x + \int_{1}^{4} x^{2} - 1 d x

\int_{0}^{1} - x^{2} + 1 d x = \frac{2}{3}

\int_{1}^{4} x^{2} - 1 d x = 18

= \frac{2}{3} + 18

Simplify

\frac{2}{3} + 18 : \frac{56}{3}

= \frac{56}{3}

Popular Examples

integral from 8 to 100 of 0.5x^{-1.5}

\int_{8}^{100} 0.5 x^{- 1.5} d x

integral from 1 to 2 of pix^4

\int_{1}^{2} π x^{4} d x

integral from 0 to 1 of sqrt(4-x^2)x

\int_{0}^{1} 4 - x^{2} x d x

integral from 1 to 9 of (1/(2x))

\int_{1}^{9} (\frac{1}{2 x}) d x

integral from 0 to 3 of 3sqrt(1+36x^2)

\int_{0}^{3} 3 1 + 36 x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 4 of |x^2-1| ?
The integral from 0 to 4 of |x^2-1| is 56/3