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Mathematics 23 Online
OpenStudy (anonymous):

how do you find the avg of a function over a given interval when given something like f(x)=x^4-x with intervals like [0,3]

OpenStudy (dtan5457):

Give me 5 minutes. I can answer this.

OpenStudy (dtan5457):

Ok, look the formula for a question like this is |dw:1417841024259:dw|

OpenStudy (dtan5457):

SO your interval is 0,3. You plug 0 and 3 into the original equation.

OpenStudy (dtan5457):

|dw:1417841147178:dw| so the avg would be 27.

OpenStudy (dtan5457):

I let B represent 3 here and A represent 0

OpenStudy (anonymous):

\[\frac{1}{b-a}\int\limits_{a}^{b}f(x) dx\]

OpenStudy (anonymous):

thank you @dtan5457

OpenStudy (anonymous):

@sourwing I got 14.7

OpenStudy (anonymous):

correct

OpenStudy (dtan5457):

I used that formula..so..

OpenStudy (dtan5457):

Actually, only mistake I see I did is that it's suppose to be 78-0 divided by 3. the avg is 26, I forgot to subtract x for F o 3.

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