If the area bounded by y = x ,   y = s i n x and x = π 2 is π 2 k - 1 sq. units, then the value of k is equal to

Step-by-step solution

Required area = ar Δ A O B - ∫ 0 π 2 sin ⁡ x d x = 1 2 ⋅ π 2 ⋅ π 2 ⏟ 1 2 ⋅ b a s e ⋅ h e i g h t - 1 = π 2 8 - 1 sq. units