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Popular >

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

Solution

\int_{- 1}^{1} ∣ x ∣ - 1 d x

Solution

- 1

Solution steps

\int_{- 1}^{1} ∣ x ∣ - 1 d x

Eliminate Absolutes

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

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

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

= - \frac{1}{2} - \frac{1}{2}

Simplify

- \frac{1}{2} - \frac{1}{2} : - 1

= - 1

Graph

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\int_{- π}^{π} x^{4} sin (x) d x

integral from 0 to 1/2 of sin(pix)

\int_{0}^{\frac{1}{2}} sin (π x) d x

Frequently Asked Questions (FAQ)

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