Question

Area bounded by the curve y = sinx between x = 0 and x = 2π is 

(A) 2 sq. units 

(B) 4 sq. units 

(C) 8 sq. units 

(D) None of these

Answer 1

Answer is (B) 4 sq. units

See Fig. 

We have y = sin x

x	0	π/6	π/2	π	3π/2	2π
y	0	0.5	1	0	-1	0

Join these points with a free hand to obtain a rough sketch.

Required area = (area of OAB) + (area of BCD)