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Popular >

integral from 0 to 6 of |x^2-4|

Solution

\int_{0}^{6} x^{2} - 4 d x

Solution

\frac{176}{3}

+1

Decimal

58.66666 \dots

Solution steps

\int_{0}^{6} x^{2} - 4 d x

Eliminate Absolutes

= \int_{0}^{2} - x^{2} + 4 d x + \int_{2}^{6} x^{2} - 4 d x

\int_{0}^{2} - x^{2} + 4 d x = \frac{16}{3}

\int_{2}^{6} x^{2} - 4 d x = \frac{160}{3}

= \frac{16}{3} + \frac{160}{3}

Simplify

\frac{16}{3} + \frac{160}{3} : \frac{176}{3}

= \frac{176}{3}

Graph

Popular Examples

integral from-2 to 3 of (6x^2-5)

\int_{- 2}^{3} (6 x^{2} - 5) d x

integral from 0 to 40 of x^2+10x-90

\int_{0}^{40} x^{2} + 10 x - 90 d x

integral from 1 to 5 of 3x^2

\int_{1}^{5} 3 x^{2} d x

integral from 0 to 2 of x^2e^{-x^3}

\int_{0}^{2} x^{2} e^{- x^{3}} d x

integral from 0 to 2pi of-18sin^2(t)

\int_{0}^{2 π} - 18 sin^{2} (t) d t

Frequently Asked Questions (FAQ)

What is the integral from 0 to 6 of |x^2-4| ?
The integral from 0 to 6 of |x^2-4| is 176/3