What is the average value of a function sin ⁡ ( X ) on the...

Lydia Carey

Lydia Carey

Answered

2022-06-29

What is the average value of a function sin ( X ) on the interval [ 0 , π ]?

Answer & Explanation

rioolpijpgp

rioolpijpgp

Expert

2022-06-30Added 19 answers

Average = sin x d x π , over the interval [ 0 , π ]
The denominator is the length of the interval of integration.t.
= cos x π , between the limits [ 0 , π ]
[ cos π cos 0 ]
= 1 1 π = 2 π

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