The area bounded by f x = sin ⁡ 2 x x ≥ 0 cos ⁡ 2 x x < 0 with the x -axis, x = - π 4 and x = π 4 is k square units. Then, the value of 4 k is equal to

Step-by-step solution

Required area is A = &#8747; - &#960; 4 0 cos &#8289; 2 x d x + &#8747; 0 &#960; 4 sin &#8289; 2 x d x = sin &#8289; 2 x 2 - &#960; 4 0 - cos &#8289; 2 x 2 0 &#960; 4 = 0 - - 1 2 - 0 - 1 2 = 1 sq. units &#8658; k = 1 &#8756; 4 k = 4