Evaluating a LimitExample 1 as a model to evaluate the limitf(c) AxIn Exercises 3 and 4, use2-2-4wwwlimn oo 1over the region bounded by the graphs of the17. f(x)= 25 - x2equations.3. fx)=x, y=0, x = 0, x = 3(3i2Hint: Let cn2x = 1Hint: Let c4. flx)= x, y = 0, x = 0,15n10Evaluating a Definite Integral as a Limit InExercises 5-10, evaluate the definite integral bythe limit definition.-6 -4 -2319. f(x) =cos x6.x dx8 dx5.-2уS.484x2 dxdx7.110.(2x2+3) dx+ 1) dx(9.-2Limit as a Definite Integral In ExercisesWriting11 and 12, write the limit as a definite integral on the giveninterval, where c, is any point in the ith subinterval.21. g(y) =IntervalLimityп[-1, 5](3c, + 10) Ax,11. limAll4[0, 3]12. limAll0c+ 4 Ax3ANAWA2Writing a Definite Integral In Exercises 13-22, write adefinite integral that represents the area of the region. (Do notevaluate the integral.)113. f(x) =514. f(x) 6-3xyy5+

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Asked Nov 20, 2019
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Evaluating a Limit
Example 1 as a model to evaluate the limit
f(c) Ax
In Exercises 3 and 4, use
2
-2
-4
www
lim
n oo 1
over the region bounded by the graphs of the
17. f(x)= 25 - x2
equations.
3. fx)=x, y=0, x = 0, x = 3
(
3i2
Hint: Let c
n2
x = 1
Hint: Let c
4. flx)= x, y = 0, x = 0,
15
n
10
Evaluating a Definite Integral as a Limit In
Exercises 5-10, evaluate the definite integral by
the limit definition.
-6 -4 -2
3
19. f(x) =
cos x
6.
x dx
8 dx
5.
-2
у
S.
4
8
4x2 dx
dx
7.
1
10.
(2x2+3) dx
+ 1) dx
(
9.
-2
Limit as a Definite Integral In Exercises
Writing
11 and 12, write the limit as a definite integral on the given
interval, where c, is any point in the ith subinterval.
21. g(y) =
Interval
Limit
y
п
[-1, 5]
(3c, + 10) Ax,
11. lim
All
4
[0, 3]
12. lim
All0
c+ 4 Ax
3
ANAWA
2
Writing a Definite Integral In Exercises 13-22, write a
definite integral that represents the area of the region. (Do not
evaluate the integral.)
1
13. f(x) =5
14. f(x) 6-3x
y
y
5
+
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Evaluating a Limit Example 1 as a model to evaluate the limit f(c) Ax In Exercises 3 and 4, use 2 -2 -4 www lim n oo 1 over the region bounded by the graphs of the 17. f(x)= 25 - x2 equations. 3. fx)=x, y=0, x = 0, x = 3 ( 3i2 Hint: Let c n2 x = 1 Hint: Let c 4. flx)= x, y = 0, x = 0, 15 n 10 Evaluating a Definite Integral as a Limit In Exercises 5-10, evaluate the definite integral by the limit definition. -6 -4 -2 3 19. f(x) = cos x 6. x dx 8 dx 5. -2 у S. 4 8 4x2 dx dx 7. 1 10. (2x2+3) dx + 1) dx ( 9. -2 Limit as a Definite Integral In Exercises Writing 11 and 12, write the limit as a definite integral on the given interval, where c, is any point in the ith subinterval. 21. g(y) = Interval Limit y п [-1, 5] (3c, + 10) Ax, 11. lim All 4 [0, 3] 12. lim All0 c+ 4 Ax 3 ANAWA 2 Writing a Definite Integral In Exercises 13-22, write a definite integral that represents the area of the region. (Do not evaluate the integral.) 1 13. f(x) =5 14. f(x) 6-3x y y 5 +

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Step 1

In the given expression f(ci)= 3ci +...

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3c, +10)Ax lim |A||- lim e)Ax 1A|-

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