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
in general, $\displaystyle \int x^n~dx = \frac {x^{n + 1}}{n + 1} + C$ for $\displaystyle n \ne -1$
if $\displaystyle n = -1$, $\displaystyle \int x^{-1}~dx = \ln x + C$
$\displaystyle \int \sin x ~dx = - \cos x + C$
now can you continue?
you do know how to plug in the limits of integration according to the fundamental theorem of calculus, right?