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Unit 1

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Unit 2

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Unit 3

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Unit 4

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Unit 5

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Unit 6

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Unit 7

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Quiz

Lesson 1 Quiz: Integration Techniques (Substitution and By Parts) and Definite Integrals

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  • Questions count: 20
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1.
STEM Limits Problem 36: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
0
Undefined
5/2 (or 2.5)
1
2.
STEM Limits Problem 24: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
0
Undefined
1
3.
STEM Algebra Problem 26: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
252 (the 6th term T_6 = 10C5)
1
120
210
4.
STEM Integration Problem 22: Evaluate the definite integral ∫[0 to 2] (3x2 - 4x + 1) dx.
6
2
4
0
5.
STEM Integration Problem 35: Evaluate the definite integral ∫[0 to 2] (3x2 - 4x + 1) dx.
0
6
2
4
6.
STEM Algebra Problem 19: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
120
1
252 (the 6th term T_6 = 10C5)
210
7.
STEM Integration Problem 3: Evaluate the definite integral ∫[0 to 2] (3x2 - 4x + 1) dx.
4
2
6
0
8.
STEM Limits Problem 17: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
0
Undefined
5/2 (or 2.5)
1
9.
STEM Limits Problem 16: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
5/2 (or 2.5)
0
1
Undefined
10.
STEM Integration Problem 12: Evaluate the definite integral ∫[0 to 2] (3x2 - 4x + 1) dx.
2
0
4
6
11.
STEM Algebra Problem 22: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
252 (the 6th term T_6 = 10C5)
210
120
1
12.
STEM Algebra Problem 13: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
210
1
252 (the 6th term T_6 = 10C5)
120
13.
STEM Algebra Problem 39: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
252 (the 6th term T_6 = 10C5)
120
210
1
14.
STEM Limits Problem 34: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
1
5/2 (or 2.5)
Undefined
0
15.
STEM Integration Problem 39: Evaluate the definite integral ∫[0 to 2] (3x2 - 4x + 1) dx.
4
6
0
2
16.
STEM Integration Problem 37: Evaluate the definite integral ∫[0 to 2] (3x2 - 4x + 1) dx.
0
6
2
4
17.
STEM Algebra Problem 2: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
1
252 (the 6th term T_6 = 10C5)
210
120
18.
STEM Limits Problem 33: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
1
Undefined
0
5/2 (or 2.5)
19.
STEM Limits Problem 44: Evaluate the limit: lim [x -> 0] (sin(5x) / tan(2x)).
1
5/2 (or 2.5)
Undefined
0
20.
STEM Algebra Problem 33: In the expansion of (x + 1/x)10, find the value of the term independent of x (the constant term).
210
1
120
252 (the 6th term T_6 = 10C5)
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