What is the average value of a function sin ⁡ x on the interval [...

Caleb Proctor

Caleb Proctor

Answered

2022-07-10

What is the average value of a function sin x on the interval [ 0 , π 3 ]?

Answer & Explanation

Hayley Mccarthy

Hayley Mccarthy

Expert

2022-07-11Added 19 answers

k = 1 b a a b f ( x ) d x
k = 1 π 3 0 π 3 sin x d x
k = 3 π [ | cos x | 0 π 3 ]
k = 3 π [ cos ( π 3 ) + cos 0 ]
k = 3 π [ 1 2 + 1 ]
k = 3 π 1 2
k = 3 2 π

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