Which of the following statement is correct for the function g ( α ) for α ∈ R such that g α = ∫ π 6 π 3 sin α x cos α x + sin α x d x

Step-by-step solution

g α = ∫ π 6 π 3 sin α x sin α x + cos α x d x   … i g α = ∫ π 6 π 3 cos α x sin α x + cos α x d x   … ii Adding 1 + 2 2 g α = π 3 - π 6 = π 6 ⇒ g α = π 12 Which is constant and an even function.