Question
Asked Nov 12, 2019
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x s 3T/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.)
(a) Find the Riemann sum for f(x)
= 5 sin x, 0
R6
2.776802
(b) Repeat part (a) with midpoints as the sample points.
M6
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x s 3T/2, with six terms, taking the sample points to be right endpoints. (Round your answers to six decimal places.) (a) Find the Riemann sum for f(x) = 5 sin x, 0 R6 2.776802 (b) Repeat part (a) with midpoints as the sample points. M6

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Expert Answer

Step 1

Repeate part (a)

Riemann sum for

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f (x) 5 sin x,0 <x< 37 /2 with six terms by taking the sample points to be the midpoints f + f 2 b 2 x3 + x4 f 2 f f 2 2 b-а Where Ar n Зл ,n=6 2 We have that a = 0,b = Therefore,Ar - 4

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Step 2

Divide the interval

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Зл into n = 6 subintervals of length Ax = 0, 2 л Зл Зл 5л 5π 3π =b 2 a =0. 4 4 2 24 4 4

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Step 3

Now, we just evaluate the func...

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(0)+ 4 +x =f 2 f 8 =1.91341716182545 4 2 2 1 = 5. Зл 2 f 2 4.61939766255643 2 2 Зл /2 1 5TT 2 = f x,+x f 2 = 4.61939766255643 2 f = 5. 8 4 2

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Math

Calculus