The area bounded by the y -axis- y-cos x and y-sin x when 0 - x -2A- 2-2-1B- -2-1C- -2-1D- -2

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Area between Two Curves

The area boun...

Question

The area bounded by the y-axis, y = cos x and y = sin x when

A.

B.

C.

D.

Open in App

Solution

The given equations are

y = cos x … (1)

And, y = sin x … (2)

Required area = Area (ABLA) + area (OBLO)

Integrating by parts, we obtain

Thus, the correct answer is B.

Suggest Corrections

Similar questions

Q. The area bounded by the y-axis, y = cos x and y = sin x when 0 ≤ x ≤

\frac{π}{2}

is
(a) 2

(\sqrt{2} - 1)

(b)

\sqrt{2} - 1

(c)

\sqrt{2} + 1

(d)

\sqrt{2}

Choose the correct answer
The area bounded by the Y-axis, y = cos x and y = sin x, $0 \leq x \leq \frac{π}{2}$ is
(a) $2 (\sqrt{2} - 1)$ (b) $\sqrt{2} - 1$
(c) $\sqrt{2} + 1$ (d) $\sqrt{2}$

Q. The area bounded by the curve y = sin x, y = cos x and y-axis is

The area bounded by the y-axis, y = cos x and y = sin x when 0 $\leq x \leq \frac{π}{2}$ is

Q. Find the area of the region bounded by the

y -

axis,

y = cos x

and

y = sin x, 0 \leq x \leq π / 2

Join BYJU'S Learning Program

The area bounded by the y-axis, y = cos x and y = sin x when A. B. C. D.

The given equations are y = cos x … (1) And, y = sin x … (2) Required area = Area (ABLA) + area (OBLO) Integrating by parts, we obtain Thus, the correct answer is B.

The area bounded by the y-axis, y = cos x and y = sin x when

A.

B.

C.

D.

The given equations are

y = cos x … (1)

And, y = sin x … (2)

Required area = Area (ABLA) + area (OBLO)

Integrating by parts, we obtain

Thus, the correct answer is B.