the following theorem. Theorem If f is integrable on [a, b], then b [ºr(x) dx f(x) dx = lim f(x₁)AX n→∞ where Ax = i = 1 (x² b-a n and x; = a + iAx. iven theorem to evaluate the definite integral. 9 [₁²³ 4x + 9) dx

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Consider the following theorem.
Theorem
If f is integrable on [a, b], then
b
n
1°f(x) dx = limo Ef(x.Δ.Χ
a
i = 1
where Ax =
b-a
n
and
x₁ = a + iAx.
Use the given theorem to evaluate the definite integral.
*9
£₁²₁x²-4
(+2
4x + 9) dx
Transcribed Image Text:Consider the following theorem. Theorem If f is integrable on [a, b], then b n 1°f(x) dx = limo Ef(x.Δ.Χ a i = 1 where Ax = b-a n and x₁ = a + iAx. Use the given theorem to evaluate the definite integral. *9 £₁²₁x²-4 (+2 4x + 9) dx
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Follow-up Question

Thank you - how does [x^3/3] become 9^3-1^3?

- [³ ] ²- + [³] ,* + 9 [×],"
-9[*],
19
9
= = [9 ²³ ₁³ ] - 2² [9²-1²] + 9 [9-1]
(9x9-11+9x8
Transcribed Image Text:- [³ ] ²- + [³] ,* + 9 [×]," -9[*], 19 9 = = [9 ²³ ₁³ ] - 2² [9²-1²] + 9 [9-1] (9x9-11+9x8
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Follow-up Question

can you break outt these steps - 

the first line has an exponent of 9 - then it disappears?

where does (1/3-2+9) come from?

↑
...
Jam da
XM+I
3+1
= x
+(
22352-4728 +97
[
| (213 - 41 33² +9 (9) ] - [ 13-2+9]
2
Connected to AmerEast-1.
92],"
Transcribed Image Text:↑ ... Jam da XM+I 3+1 = x +( 22352-4728 +97 [ | (213 - 41 33² +9 (9) ] - [ 13-2+9] 2 Connected to AmerEast-1. 92],"
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