The figure shows the region bounded by y =…

The figure shows the region bounded by y = e^x, the x-axis and the lines x = 0 and x = 1.

Question 59

MediumOriginal question

The figure shows the region bounded by $y = e^{x}$ , the $x$ -axis and the lines $x = 0$ and $x = 1$ . What is its area?

$The graph of y = e^{x} with the region under it between x = 0 and x = 1 shaded, down to the x-axis.$

- \frac{1}{2} + \frac{e}{2}

Correct answerYour answer

-1 + e

Correct answerYour answer

e

Correct answerYour answer

-2 + 2 e

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

The curve stays above the $x$ -axis on $[0, 1]$ , so the area is $\int_{0}^{1} e^{x}\,dx$ .
That is $-1 + e$ square units.

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

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