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Popular >

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

Solution

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

Solution

4

Solution steps

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

Eliminate Absolutes

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

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

\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} + \frac{4}{3}

Simplify

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

= 4

Graph

Popular Examples

integral of 4xsqrt(x^2+2x)

\int 4 x x^{2} + 2 x d x

derivative of ln(3x^2+2x-1)

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

derivative of y=sin^5(2x+1)derivative of

y = sin^{5} (2 x + 1)

derivative of f(x)=-csc(x)-sin(x)derivative of

f (x) = - csc (x) - sin (x)

derivative of \sqrt[3]{x^2+x+1}

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

Frequently Asked Questions (FAQ)

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