3 years ago

It’s not C can someone plz help with this

Mathematics

1 answer:

sveticcg [70]3 years ago

3 0

Answer:

it's C. I checked my answer. they're tying to throw you off

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Step-by-step explanation:

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Let f be the function given by f(x)=3xsinx. What is the average value of f on the closed interval 1≤x≤7 ?

Hoochie [10]

Answer:

-2.92178

Step-by-step explanation:

Given the function $f(x)=3x\ sin x$

The average,A is calculated using the formula;

$A=\frac{1}{b-a}\int\limits^a_b F(x)\, dx \\\\A=\frac{1}{7-1}\int\limits^7_1 3x \ Sin \ x\, dx \\\\\\=\frac{3}{6}\int\limits^7_1 x \ Sin \ x\, dx \\\\\#Integration\ by\ parts, u=x, v \prime=sin(x)\\=0.5[-xcos(x)-\int-cos(x)dx]\limits^7_1\\\\=0.5[-xcos(x)-(-sin(x))]\limits^7_1\\\\=0.5[-xcos(x)+sin(x)]\limits^7_1\\\\=0.5[-6.82595--0.98240]\\\\=-2.92178$