1) Find the average value of the function over the indicated interval: x^2-sin(x) on [-2,4]. I am not sure how to go about solving this problem. Any help on it will be much appreciated! -M
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Originally Posted by blurain 1) Find the average value of the function over the indicated interval: x^2-sin(x) on [-2,4]. I am not sure how to go about solving this problem. Any help on it will be much appreciated! -M The average value of a function on an interval is given by:
Thank you for replying. However, I already know the formula to find the average value; I just do not understand the algebraic part of the problem. -M
Originally Posted by blurain Thank you for replying. However, I already know the formula to find the average value; I just do not understand the algebraic part of the problem. -M by "algebraic" do you mean finding the integral ?
Ah, yes, that was what I meant.
Originally Posted by blurain Ah, yes, that was what I meant. in general, for if , now can you continue? you do know how to plug in the limits of integration according to the fundamental theorem of calculus, right?
Would that mean that x^2-sin(x) is 1/3(x^3)+cos(x)?
Originally Posted by blurain Would that mean that x^2-sin(x) is 1/3(x^3)+cos(x)? yes, that's the integral. now plug in the limits. and don't forget that you have a 1/6 in front
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