For the function f(x) = 5x + 3, find a formula for the upper sum obtained by dividing the interval [0, 3] into n equal subintervals. Then take the limit as no to calculate the area under the curve over [0, 3]. %3! 63 : Area 2n2 09.452. 45n 2n2 27 Area =- 45n2 45n 9 + : Area 63 2n2 422 O 9+ + 46n Area = 15 2n2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the formula and limit as requested.
For the function f(x) = 5x +3, find a formula for the upper sum obtained by dividing the interval [0,
3] into n equal subintervals. Then take the limit as n→o to calculate the area under the curve over
[0, 3].
452. 45n
9 +
2n2
63
: Area -
45n2.
+ 45n
27
: Area --
2n2
45n2 45n
O 9+
2n2
63
: Area =
42n2 + 46n
9 +
15
Area
2n2
Transcribed Image Text:Find the formula and limit as requested. For the function f(x) = 5x +3, find a formula for the upper sum obtained by dividing the interval [0, 3] into n equal subintervals. Then take the limit as n→o to calculate the area under the curve over [0, 3]. 452. 45n 9 + 2n2 63 : Area - 45n2. + 45n 27 : Area -- 2n2 45n2 45n O 9+ 2n2 63 : Area = 42n2 + 46n 9 + 15 Area 2n2
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