Question

Is this right?? (Midpoint sums)

Answer 1

Mid: Length( f(x0.5) + f(x1.5) + ... f(xn - 1.5) + f(xn - 0.5) )
Mid: 30( f(15) + f(45) + f(75) + f(105) )
Mid: 30( 15 + 20 + 23 + 22 )
Mid: 2400

Answer 2

@wio @nincompoop

Answer 3

@AkaylaM This is coming from someone who posts questions about tests... lolwut. Please don't be a hypocrite (for example from your questions "Can somebody check my answers for a test to make sure they are correct? I will give medals and a fan from me!:)"

Answer 4

@SithsAndGiggles Wouldn't that make the answer 20 then? That seems a bit off. The formula to midpoint is M_n = b-a/n[(x0+x1/2) + (x2+x3)/2].

Answer 5

Yes, you're right. I made a mistake with the formula. Should be
\[\int_0^{120}f(x)~dx\approx\frac{120(\cdots)}{4}\]
Sorry about that.