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Popular >

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

Solution

\int_{- 1}^{1} (1 - ∣ x ∣) d x

Solution

1

Solution steps

\int_{- 1}^{1} 1 - ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= \frac{1}{2} + \frac{1}{2}

Simplify

\frac{1}{2} + \frac{1}{2} : 1

= 1

Popular Examples

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integral of (3sec(x)tan(x)+4sec^2(x))

\int (3 sec (x) tan (x) + 4 sec^{2} (x)) d x

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\int 3 x (4 x - 1)^{5} d x

integral of 7sin^3(x)cos^7(x)

\int 7 sin^{3} (x) cos^{7} (x) d x

Frequently Asked Questions (FAQ)

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