Question 4 4.1 Express the limit as a definite integral on the given integral: 1-x} Ax…
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Question “Question 4 4.1 Express the limit as a definite integral on the given integral: 1-x} Ax…”
Question 4 4.1 Express the limit as a definite integral on the given integral: 1-x} Ax , [2,6] lim Σ=1 a. (2 Marks) n->00 4+x} lim (?-1 – Ax ,[1,3] (xi) – 4 b. (2 Marks) n->00 4.2 Evaluate the following expressions. Show your calculations. $=1(2p – p2) b. En-o sin a. (2 Marks) пп (2 Marks) 2 C. 2m +2 53 Lm=1 3 (2 Marks) [Sub Total 10 Marks]
Answer
Solution 4.1 2 Lim so Swt Ru 4+25 (2,6] fun=1-12 and the interval, (2.6], 4 +2. 6 This is the definite integral. La fondo so 1x.dk4 +22 xi.lim Noo. ta SWW [13] Oce242 f(x). & the interval ([4,37 x24]. We have the definite integral. s fluidx= 3 x da x24 4.2 92. {{ (20-02) = & 20 (20-02) = 20 & p2 pe pa S= 2.EP SS.p2 P=1 We have 2 i = (n.Cht) t Zita (n+1 li 6.
gi 18 (20-3 = 2): x 54 (5+1). (5+1)x (2×5+ 0 6. 5×6 – 5 X 6 X 11 6 30 – 55 a -95 od & 20-82 = -25 pa b). sin (nI) = sin(x1) + Sin 2 + sin (21) + Sin (31) & sin (411) = sino & sin II + sin (T) + sin (3 Itsinem) ottoto -1-1=0. a & sin (nI) = 0 nan (C). mit am+2 3 13 (9m+2) – ma 3 mal 3 = 1 E amt 3 d 3 3 E 2 mal ma 2 / 3. mt m.al 3 i. 1. ma we have & 1 E amt 3 d 3 E 2 mal ma 2 / 3. mt m.al 3 i. MW g. 3 am+2 3 2x (3+1), 2 + 3x 3x x3- 4+2 26 Mal 3 am 12 – 6 m=
Conclusion
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