For each problem, use a left-hand Riemann sum to approximate the integral ...
You may use the provided graph to sketch the function data and Riemann sums.
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Worksheet by Kuta Software LLC. Kuta Software - Infinite Calculus ... You may use the provided graph to sketch the funct
Kuta Software - Infinite Calculus
Name___________________________________
Riemann Sum Tables
Date________________ Period____
For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums. 1)
10
∫
f ( x) dx
2)
0
∫
10
f ( x) dx
0
x
0
2
5
7
10
x
0
4
6
7
10
f ( x)
2
3
5
7
8
f ( x)
5
3
2
3
5
f(x)
f(x)
9
6
8 5 7 4
6 5
3
4 2
3 2
1
1 −1 −1
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
10 x
10 x
−1
−1
For each problem, use a right-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums. 3)
For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums. 1)
10
∫
f ( x) dx
2)
0
∫
10
f ( x) dx
0
x
0
2
5
7
10
x
0
4
6
7
10
f ( x)
2
3
5
7
8
f ( x)
5
3
2
3
5
f(x)
f(x)
9
6
8 5 7 4
6 5
3
4 2
3 2
1
1 −1 −1
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
10 x
10 x
−1
−1
44
37
For each problem, use a right-hand Riemann sum to approximate the integral based off of the values in the table. You may use the provided graph to sketch the function data and Riemann sums. 3)
∫
14
f ( x) dx
4)
0
∫
19
f ( x) dx
0
x
0
3
5
9
13
14
x
0
4
9
10
12
19
f ( x)
−1
−2
−1
0
−1
0
f ( x)
−3
−5
−4
−2
−1
1
f(x)
f(x)
1
2
0.5
1 2
4
6
8
10
12
14 x
2
−0.5
−1
−1
−2
−1.5
−3
−2
−4
−2.5
−5
−3
−6
−12
4
6
8
10
12
14
16
18
x
−37
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