Find the average value have of the function h on the given interval. h(x) = 4...

Find the average value h_ave of the function h on the given interval.

h(x) = 4 cos⁴ x sin x, [0, π]

Expert Solution

VY Recall :- The average value of a function f(x) over the interval [a, b] is given by fong to a s flx) dx. Given that h(x) = 4 Los 4x sind , [o.n]. The average value of a function h(*): over the internal com is hang to S" 4(39 da * "4 Cos 4Sinx dve A ja Cosax sind de $ " + [ sin (4+1)2 = sin( 4 – 1)x] dze S'(sin 5* - Sin 3x) dx i ce I - Lasse + cos2x 2" = } [- Cossn + cos2" + } - $ -6-3). +4-) + - $ å iš - 1]; (osa2 sina da ..15: - 15 T so, average. volue of a fumetion Cover [ o, harge - USA 15.1 *

milcah answered 2 years ago

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