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Popular >

integral from-1 to 1 of e^{|x|}

Solution

\int_{- 1}^{1} e^{∣ x ∣} d x

Solution

2 e - 2

+1

Decimal

3.43656 \dots

Solution steps

\int_{- 1}^{1} e^{∣ x ∣} d x

Eliminate Absolutes

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

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

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

= e - 1 + e - 1

Simplify

= 2 e - 2

Graph

Popular Examples

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\int_{0}^{6} - 2 x^{2} + 12 x d x

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\int_{a}^{a^{2}} x^{2} d x

integral from pi to (3pi)/2 of 3cos(x)

\int_{π}^{\frac{3 π}{2}} 3 cos (x) d x

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\int_{- 1}^{4} x + 4 - (x^{2} - 2 x) d x

integral from 1 to 16 of (x^{-7/4})

\int_{1}^{16} (x^{- \frac{7}{4}}) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of e^{|x|} ?
The integral from-1 to 1 of e^{|x|} is 2e-2