Question

The area enclosed between the curves y = sin² x and y = cos²x in the interval 0 £ x £p is -

• A. 2 sq unit
• B. $\frac { 1 } { 2 }$sq unit
• C. 1 sq unit
• D. None

Answer 1

Answer: (C)

1 sq unit

Answer 2

area =

= – $\int _ { \pi / 4 } ^ { 3 \pi / 4 }$cos2x dx = 1