What is the integral from-2 to 4 of e^{|x|} ?

The integral from-2 to 4 of e^{|x|} is e^4+e^2-2

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integral from-2 to 4 of e^{|x|}

\int_{- 2}^{4} e^{∣ x ∣} d x

e^{4} + e^{2} - 2

Decimal

59.98720 \dots

Solution steps

\int_{- 2}^{4} e^{∣ x ∣} d x

Eliminate Absolutes

= \int_{- 2}^{0} e^{- x} d x + \int_{0}^{4} e^{x} d x

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

\int_{0}^{4} e^{x} d x = e^{4} - 1

= e^{2} - 1 + e^{4} - 1

Simplify

= e^{4} + e^{2} - 2

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What is the integral from-2 to 4 of e^{|x|} ?
The integral from-2 to 4 of e^{|x|} is e^4+e^2-2