Question

Consider the given function.
f(x) = 3 sin(6x) text(, ) 0<=x<=(3pi)/2
(a) Find the Riemann sum with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
R6 =

(b) Repeat part (a) with midpoints as sample points. (Give your answer correct to six decimal places.)
M6 =

Answer 1

Divide your integration domain by 6
delta x = [(3 pi/2) - 0] / 6
delta x = pi/4
Label your 7 X values
Xo = 0 , X1 = pi/4, X2= pi/2, X3 = 3 pi/4, X4 = pi, X5 = 5 pi/4, X6 = 3 pi/2

calculate f(x) at X1 through X6
(You do not need f(Xo) because you are taking right side of rectangles not left side)
Add those 6 values of f(x) and multiply by delta x

the end

Answer 2

( I told you how to do midpoints in the other problem )

Answer 3

Перезвоните пожалуйста по телефону 8 [phone] , Валерий.