Question
Question: The area bounded by the curves y = sin x, y = cos x and y-axis in first quadrant is –...
The area bounded by the curves y = sin x, y = cos x and y-axis in first quadrant is –
A
2–1
B
2
C
2 +1
D
None of these
Answer
2–1
Explanation
Solution

In first quadrant sin x and cos x meet at x = p/4. The required area is a shown in the diagram. So required area
= ∫0π/4(cosx−sinx)dx =
= (1/2+ 1/ 2 ) – (0 + 1) = 2 – 1