Accumulation & Riemann Sums Assessment Test
10 Questions
| Total Attempts: 116
Accumulation and Riemann sums are used when the definite integral represents the area under the curve of a function between two vertical lines but we can't go find this area easily, so we can estimate it using simpler shapes like rectangles.
Questions and Answers
- 1.
Integrate ∫ 3x+2 dx from x=1 to x=4.- A.
28.5
- B.
28.6
- C.
28
- D.
28.7
- 2.
Approximate the area under the curve of ∫ cos(x) dx from x=1 to x=5.
- A.
-3.14
- B.
3.14
- C.
-1.8004
- D.
1.8004
- 3.
Integrate f(x)= x^3+4 from x=-2 to x=2 using left riemann sums with four equal subintervals.
- A.
6
- B.
7
- C.
8
- D.
9
- 4.
Integrate and solve ∫ cos(x) dx from x=-11 to x=4.
- A.
3.14
- B.
-1.757
- C.
-3.14
- D.
4.12
- 5.
Integrate and solve ∫ 2x-cosx dx from x=1 to x=6.
- A.
36.121
- B.
24.75
- C.
-36.121
- D.
-24.75
- 6.
Integrate and solve ∫ cos x dx from x=π to x=3π.
- A.
0
- B.
1
- C.
2
- D.
3
- 7.
Integrate and solve ∫1/x +2 dx from x=2 to x=5.
- A.
1n (5/2) +6
- B.
-1n (5/2) +6
- C.
1n (3) +2
- D.
-1n (3) +2
- 8.
Integrate and solve ∫-sin(x)^2-cos(x) from x=12 to x=12.
- A.
-2
- B.
-1
- C.
0
- D.
1
- 9.
Integrate and solve ∫3x^5 dx from x=-5 to x=1.
- A.
-42
- B.
42
- C.
7821
- D.
-7821
- 10.
Integrate and solve ∫2x dx from intervals x=1 to x=3.
- A.
-12
- B.
12
- C.
-8
- D.
8
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