Average value Definition and 105 Threads

I am in a time crunch and I am stumped... I need to find the average value function of f(x) = (3x+5)^2 on [1, 2] help please..

I am in a time crunch and I am stumped... I need to find the average value function of f(x) = (3x+5)^2 on [1, 2] help please..

Find the average value of \int_{x}^{1} cos(t^2)dt on [0,1] I have no idea where to even begin..

Hmmm... got this one wrong What is the average value of y = x^{2}\sqrt{x^3+1} on the interval [0,2] ? Okay, so another average value problem right? f(b) - f(a) = f'(c)(b-a) f(2) - f(0) = 2f'(c) 12 = 2f'(c) So then the average value is 6 right?

I forgot the formula for the average value of a function. Is that f(b) - f(a) = f'(c)(b-a) or am I thinking of something else?