If f x = Max sin x , cos x and g x = Min sin x , cos x , then ∫ 0 π f x d x + ∫ 0 π g x d x =

Question

If f x = Max sin x , cos x and g x = Min sin x , cos x , then &#8747; 0 &#960; f x d x + &#8747; 0 &#960; g x d x =

Aicharya · Accepted Answer

Given f x = Max sin x , cos x and g x = Min sin x , cos x &#8747; 0 &#960; f x d x + &#8747; 0 &#960; g x d x = &#8747; 0 &#960; 4 sin x d x + &#8747; &#960; 4 &#960; cos x d x + &#8747; 0 &#960; 4 cos x d x + &#8747; &#960; 4 &#960; sin x d x = - cos x 0 &#960; 4 + sin x &#960; 4 &#960; + sin x 0 &#960; 4 + - cos x &#960; 4 &#960; = - 1 2 + 1 + 0 - 1 2 + 1 2 - 0 + 1 + 1 2 = 2

If f x = Max sin x , cos x and g x = Min sin x , cos x , then ∫ 0 π f x d x + ∫ 0 π g…

Solution

If f x = Max sin x , cos x and g x = Min sin x , cos x , then &#8747; 0 &#960; f x d x + &#8747; 0 &#960; g…

Solution

If f x = Max sin x , cos x and g x = Min sin x , cos x , then ∫ 0 π f x d x + ∫ 0 π g…