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Definite Integrals & Area · Question 45 of 71

Question 45

MediumOriginal question

Evaluate ∫−11e∣x∣ dx\int_{-1}^{1} e^{\lvert x \rvert}\,dx.

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. e∣x∣e^{\lvert x \rvert} is even, so the integral is 2∫01ex dx2\int_0^1 e^{x}\,dx.

  2. 2(e−1)2(e - 1).

Worth noting

e−1ee - \frac{1}{e} is ∫−11ex dx\int_{-1}^{1} e^{x}\,dx, which ignores the absolute value.

Concept
Integrals of even functions over symmetric limits
Typical time
90 s
Your time
—
The rule this testsProperties of definite integrals
Practise this chapter →

Ten questions from Definite Integrals & Area, at your own pace.

Practise this chapter →

Ten questions from Definite Integrals & Area, at your own pace.