The Fundamental Theorems of Calculus Lesson Slides: 5 Slides

5 Slides • 11 Questions

1

The First and Second Fundamental Theorems of Calculus

2

3

4

5

6

Multiple Choice

_{Evaluate the integral}

1

30/3

2

31/3

3

29/3

4

32/3

7

Multiple Choice

\int_{-3}^1\left(2x+2\right)dx

1

$\frac{3}{2}$

2

0

3

1

4

$-\frac{1}{2}$

8

Multiple Choice

\int_1^4\left(\frac{3}{x^3}\right)dx

1

$\frac{15}{4}$

2

$\frac{21}{16}$

3

$\frac{45}{32}$

4

$\frac{5}{4}$

9

Multiple Choice

\int_{-2}^2\left(5x^{\frac{1}{3}}\right)dx

1

0

2

-3

3

$-\frac{3}{2}$

4

-1

10

Multiple Choice

\int_0^3\left(x^3-4x^2+5x-3\right)dx

1

$\frac{-18}{5}$

2

$-\frac{9}{4}$

3

$-\frac{6}{7}$

4

$-\frac{9}{2}$

11

Multiple Choice

$\int_{-4}^0\left(2x+2\right)dx$

1

-6

2

-17

3

-9

4

-8

12

Multiple Choice

1

12/3

2

6.5

3

5.5

4

11/3

13

Multiple Choice

Evaluate in terms of area

∫₀² f(x) dx

1

4

2

-4

3

4 + 2π

4

-4 - 2π

14

Multiple Choice

1

-1

2

-2

3

1/2

4

-1/2

15

Multiple Choice

1

40

2

32

3

64

4

Not possible

16

Multiple Choice

1

12/3

2

6.5

3

5.5

4

11/3

The First and Second Fundamental Theorems of Calculus

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