Accumulation & Riemann Sums Assessment Test
10 Questions
| Total Attempts: 105
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. - ProProfs]( "Integrate ∫ 3x+2 dx from x=1 to x=4.")
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. - ProProfs]( "Approximate the area under the curve of ∫ cos(x) dx from x=1 to x=5.")
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. - ProProfs]( "Integrate f(x)= x^3+4 from x=-2 to x=2 using left riemann sums with four equal subintervals.")
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. - ProProfs]( "Integrate and solve ∫ cos(x) dx from x=-11 to x=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. - ProProfs]( "Integrate and solve ∫ 2x-cosx dx from x=1 to x=6.")
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. - ProProfs]( "Integrate and solve ∫ cos x dx from x=π to x=3π.")
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. - ProProfs]( "Integrate and solve ∫1/x +2 dx from x=2 to x=5.")
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. - ProProfs]( "Integrate and solve ∫-sin(x)^2-cos(x) from x=12 to x=12.")
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. - ProProfs]( "Integrate and solve ∫3x^5 dx from x=-5 to x=1.")
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. - ProProfs]( "Integrate and solve ∫2x dx from intervals x=1 to x=3.")
Integrate and solve ∫2x dx from intervals x=1 to x=3.- A.
-12
- B.
12
- C.
-8
- D.
8
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