The figure shows the region bounded by y = cos x, the x-axis and the lines x = 0 and x = π/2. What is its area? The graph of y = \cos x with the region under it between x = 0 and x = \frac{\pi}{2} shaded, down to the x-axis.

The figure shows the region bounded by y = cos…

The figure shows the region bounded by y = cos x, the x-axis and the lines x = 0 and x = π/2.

EasyOriginal question

The figure shows the region bounded by $y = \cos x$ , the $x$ -axis and the lines $x = 0$ and $x = \frac{\pi}{2}$ . What is its area?

$The graph of y = \cos x with the region under it between x = 0 and x = \frac{\pi}{2} shaded, down to the x-axis.$

0

Correct answerYour answer

\frac{1}{2}

Correct answerYour answer

1

Correct answerYour answer

2

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

The curve stays above the $x$ -axis on $[0, \frac{\pi}{2}]$ , so the area is $\int_{0}^{\frac{\pi}{2}} \cos x\,dx$ .
That is $1$ square units.

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

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