RD Sharma - Mathematics (Volume 2)

Book: RD Sharma - Mathematics (Volume 2)

Chapter: 21. Areas of Bounded Regions

Subject: Maths - Class 12th

Q. No. 18 of MCQ

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

18

The area between x-axis and curve y = cos x when 0 ≤ x ≤ 2π is

Let area be A.


So, area A is –


A =


Now, cos x is positive from x = 0 to x = π/2 and from x = 3π/2 to x = 2π and negative from x = π/2 to x = 3π/2.


So, A =


=


= [1 – 0] + [-(-1) + 1] + [0 – (-1)]


= 1 + 1 + 1 + 1


= 4 (Ans)

Chapter Exercises

More Exercise Questions