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Popular >

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

Solution

\int_{- 1}^{1} 2 - ∣ x ∣ d x

Solution

3

Solution steps

\int_{- 1}^{1} 2 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{3}{2} + \frac{3}{2}

Simplify

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

= 3

Popular Examples

integral of 1/(e^{-t)}

\int \frac{1}{e ^{- t}} d t

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\int 4 cos^{3} (6 x) d x

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\int x \cdot sin (k \cdot x) d x

derivative of (4x)^{6x}derivative of

(4 x)^{6 x}

(\partial)/(\partial x)(e^{-y}cos(x))

\frac{\partial}{\partial x} (e^{- y} cos (x))

Frequently Asked Questions (FAQ)

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