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Popular >

integral from-1 to 1 of ln|x|

Solution

\int_{- 1}^{1} ln ∣ x ∣ d x

Solution

- 2

Solution steps

\int_{- 1}^{1} ln ∣ x ∣ d x

Eliminate Absolutes

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

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

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

= - 1 - 1

Simplify

= - 2

Popular Examples

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12y^{''}-12y^'+78y=0

12 y^{^{''}} - 12 y^{^{'}} + 78 y = 0

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\int 5 e^{- 0.5 x} d x

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(\partial)/(\partial x)((x^2+4)/(y-3))

\frac{\partial}{\partial x} (\frac{x ^{2} + 4}{y - 3})

Frequently Asked Questions (FAQ)

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