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Integral Calculus

Integral Calculus
53問 • 2年前
  • John Cerda
    • 通報

    問題一覧

  • 1

    It is an approximation of area beneath a continuous curve f(x) on the interval [a,b] using n trapezoids.

    Trapezoidal Rule

  • 2

    It is an approximation of area beneath a continuous curve f(x) on the closed interval [a,b] using an even number subintervals ot n parabolas.

    Trapezoidal Rule

  • 3

    Function defined by definite integral in which it has a variable in one in ine or both of its limits of integration.

    Accumulation Function

  • 4

    Integrate

    (7x⁴)/4 + (4x³)/3 + C

  • 5

    Evaluate

    (1/2)(ln sec ∅)² + C

  • 6

    What does this indicate

    Local Minimum

  • 7

    What does this indicate

    Local Maximum

  • 8

    What does this indicate if D < 0?

    Saddle Point

  • 9

    Integrate

    x (arctan x) - ln(√(1+x²)) + C

  • 10

    Evaluate

    1.05

  • 11

    Find the area

    18 sq. units

  • 12

    Evaluate

    9√3

  • 13

    Find the area

    3.77

  • 14

    Find the area

    1.39

  • 15

    Find the area

    21.3

  • 16

    Find the area

    2.83 sq. units

  • 17

    Find the centroid

    4a/(3π)

  • 18

    Find the centroid

    (0.4, 1.5)

  • 19

    Find the centroid

    (1.125, 3.6)

  • 20

    Find the moment of inertia

    1.07

  • 21

    Find the moment of inerti

    0.57

  • 22

    Radius of gyration

    0.65

  • 23

    Find the volume

    4141.3 cm³

  • 24

    Find the volume

    127.2

  • 25

    Find the volume

    4.93 cu. units

  • 26

    Find the volume

    90.48 cu. units

  • 27

    Find the volume

    11

  • 28

    Find the area

    169 sq. units

  • 29

    Find the area

    32

  • 30

    Find the area enclosed by the cardoid r = 6(1 + cos ∅) on the left side?

    12.8 sq. units

  • 31

    Find the area inside the inner loop of r =3 −8cosθ.

    15.2 sq. units

  • 32

    What type of polar curve is r = a + b cosθ?

    Cardoid

  • 33

    What type of polar curve is r² = cos(aθ)?

    Lemniscale

  • 34

    What type of polar curve is r = cos³θ?

    Follium Simple

  • 35

    What type of polar curve is r = sin(θ/2)?

    Folium de Dûrer

  • 36

    What type of polar curve is r = (sin θ)/θ?

    Cochléoïde

  • 37

    What type of polar curve is r = sin (θ/3)?

    Trisectrix Limacon

  • 38

    Find the length

    2.1

  • 39

    Determine the length

    1.15

  • 40

    Find the perimeter

    8

  • 41

    f(t) = ?

    -1/2

  • 42

    Evaluate

    9 cos²(x² - 6x + 1)

  • 43

    Evaluate

    1

  • 44

    Evaluate

    It diverges

  • 45

    Evaluate

    (B³ - A³) - 7(B² - A²)/2

  • 46

    Find the average value

    (-2√2)/(3π)

  • 47

    Find the mean value

    -1.37 and 1.62

  • 48

    Evaluate

    8 ln 8 - 16 + e

  • 49

    Evaluate

    (e - 1)³

  • 50

    Evaluate

    0

  • 51

    Evaluate

    -32

  • 52

    Find the critical points

    (-1, -2)

  • 53

    What is nature of critical points of f(x,y) = x² - xy + y² + 3y - 1?

    Local Minimum

    • Basic Communication I

    Basic Communication I

    John Cerda · 100問 · 2年前

    Basic Communication I

    Basic Communication I

    100問 • 2年前
    John Cerda

    Basic Communication II

    Basic Communication II

    John Cerda · 100問 · 2年前

    Basic Communication II

    Basic Communication II

    100問 • 2年前
    John Cerda

    Basic Communication III

    Basic Communication III

    John Cerda · 50問 · 2年前

    Basic Communication III

    Basic Communication III

    50問 • 2年前
    John Cerda

    Amplitude Modulation I

    Amplitude Modulation I

    John Cerda · 100問 · 2年前

    Amplitude Modulation I

    Amplitude Modulation I

    100問 • 2年前
    John Cerda

    Amplitude Modulation II

    Amplitude Modulation II

    John Cerda · 100問 · 2年前

    Amplitude Modulation II

    Amplitude Modulation II

    100問 • 2年前
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    Angle Modulation I

    Angle Modulation I

    John Cerda · 100問 · 2年前

    Angle Modulation I

    Angle Modulation I

    100問 • 2年前
    John Cerda

    Angle Modulation II

    Angle Modulation II

    John Cerda · 58問 · 2年前

    Angle Modulation II

    Angle Modulation II

    58問 • 2年前
    John Cerda

    Transmission Line I

    Transmission Line I

    John Cerda · 100問 · 2年前

    Transmission Line I

    Transmission Line I

    100問 • 2年前
    John Cerda

    Transmission Line II

    Transmission Line II

    John Cerda · 37問 · 2年前

    Transmission Line II

    Transmission Line II

    37問 • 2年前
    John Cerda

    Differential Calculus

    Differential Calculus

    John Cerda · 84問 · 2年前

    Differential Calculus

    Differential Calculus

    84問 • 2年前
    John Cerda

    DC Circuit

    DC Circuit

    John Cerda · 63問 · 2年前

    DC Circuit

    DC Circuit

    63問 • 2年前
    John Cerda

    Differential Equation

    Differential Equation

    John Cerda · 21問 · 2年前

    Differential Equation

    Differential Equation

    21問 • 2年前
    John Cerda

    ELEX 2

    ELEX 2

    John Cerda · 100問 · 2年前

    ELEX 2

    ELEX 2

    100問 • 2年前
    John Cerda

    ELEX 3

    ELEX 3

    John Cerda · 100問 · 2年前

    ELEX 3

    ELEX 3

    100問 • 2年前
    John Cerda

    ELEX 4

    ELEX 4

    John Cerda · 100問 · 2年前

    ELEX 4

    ELEX 4

    100問 • 2年前
    John Cerda

    ELEX 5

    ELEX 5

    John Cerda · 59問 · 2年前

    ELEX 5

    ELEX 5

    59問 • 2年前
    John Cerda

    MATH

    MATH

    John Cerda · 78問 · 2年前

    MATH

    MATH

    78問 • 2年前
    John Cerda

    問題一覧

  • 1

    It is an approximation of area beneath a continuous curve f(x) on the interval [a,b] using n trapezoids.

    Trapezoidal Rule

  • 2

    It is an approximation of area beneath a continuous curve f(x) on the closed interval [a,b] using an even number subintervals ot n parabolas.

    Trapezoidal Rule

  • 3

    Function defined by definite integral in which it has a variable in one in ine or both of its limits of integration.

    Accumulation Function

  • 4

    Integrate

    (7x⁴)/4 + (4x³)/3 + C

  • 5

    Evaluate

    (1/2)(ln sec ∅)² + C

  • 6

    What does this indicate

    Local Minimum

  • 7

    What does this indicate

    Local Maximum

  • 8

    What does this indicate if D < 0?

    Saddle Point

  • 9

    Integrate

    x (arctan x) - ln(√(1+x²)) + C

  • 10

    Evaluate

    1.05

  • 11

    Find the area

    18 sq. units

  • 12

    Evaluate

    9√3

  • 13

    Find the area

    3.77

  • 14

    Find the area

    1.39

  • 15

    Find the area

    21.3

  • 16

    Find the area

    2.83 sq. units

  • 17

    Find the centroid

    4a/(3π)

  • 18

    Find the centroid

    (0.4, 1.5)

  • 19

    Find the centroid

    (1.125, 3.6)

  • 20

    Find the moment of inertia

    1.07

  • 21

    Find the moment of inerti

    0.57

  • 22

    Radius of gyration

    0.65

  • 23

    Find the volume

    4141.3 cm³

  • 24

    Find the volume

    127.2

  • 25

    Find the volume

    4.93 cu. units

  • 26

    Find the volume

    90.48 cu. units

  • 27

    Find the volume

    11

  • 28

    Find the area

    169 sq. units

  • 29

    Find the area

    32

  • 30

    Find the area enclosed by the cardoid r = 6(1 + cos ∅) on the left side?

    12.8 sq. units

  • 31

    Find the area inside the inner loop of r =3 −8cosθ.

    15.2 sq. units

  • 32

    What type of polar curve is r = a + b cosθ?

    Cardoid

  • 33

    What type of polar curve is r² = cos(aθ)?

    Lemniscale

  • 34

    What type of polar curve is r = cos³θ?

    Follium Simple

  • 35

    What type of polar curve is r = sin(θ/2)?

    Folium de Dûrer

  • 36

    What type of polar curve is r = (sin θ)/θ?

    Cochléoïde

  • 37

    What type of polar curve is r = sin (θ/3)?

    Trisectrix Limacon

  • 38

    Find the length

    2.1

  • 39

    Determine the length

    1.15

  • 40

    Find the perimeter

    8

  • 41

    f(t) = ?

    -1/2

  • 42

    Evaluate

    9 cos²(x² - 6x + 1)

  • 43

    Evaluate

    1

  • 44

    Evaluate

    It diverges

  • 45

    Evaluate

    (B³ - A³) - 7(B² - A²)/2

  • 46

    Find the average value

    (-2√2)/(3π)

  • 47

    Find the mean value

    -1.37 and 1.62

  • 48

    Evaluate

    8 ln 8 - 16 + e

  • 49

    Evaluate

    (e - 1)³

  • 50

    Evaluate

    0

  • 51

    Evaluate

    -32

  • 52

    Find the critical points

    (-1, -2)

  • 53

    What is nature of critical points of f(x,y) = x² - xy + y² + 3y - 1?

    Local Minimum