Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

Threads

Graduate How does differentiation under the integral sign

  • autodidude
  • · Replies 1 ·
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1

Graduate Limit solving without using series

  • Mark J.
  • · Replies 2 ·
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2

Undergrad Can you explain Euler's Equation and KVL in engineering?

  • iRaid
  • · Replies 14 ·
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14

Graduate Partial derivatives of 3D rotation vectors

  • Jellyf15h
  • · Replies 1 ·
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1

Kaska's question at Yahoo Answers involving related rates

  • MarkFL
  • · Replies 1 ·
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1

Formula for a geometric series with variable common ratio

  • ATroelstein
  • · Replies 3 ·
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3

Find Magnitude of Gradient in Vector Y(x2,x3,x4)

  • aplrt
  • · Replies 4 ·
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4

Undergrad More general formula for integrals

  • echandler
  • · Replies 7 ·
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7
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1

Graduate Asymmetric Clipped Waveform - find RMS

  • pdelaney
  • · Replies 1 ·
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1
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3

Undergrad Finding limit of (sin x)/x² using sandwich theorem

  • calcu
  • · Replies 1 ·
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1

Undergrad Database for nth roots of unity

  • dumbQuestion
  • · Replies 3 ·
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3

Graduate What Do Partial Derivatives Tell Us in Thermodynamics and Beyond?

  • Mandelbroth
  • · Replies 1 ·
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1

Undergrad Finding the major and minor axis of ellipse

  • yungman
  • · Replies 4 ·
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4

Jordan's question from Facebook (finding critical points)

  • Jameson
  • · Replies 1 ·
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1

Graduate Derivative by Leibniz's integral rule

  • Undoubtedly0
  • · Replies 5 ·
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5

Undergrad Partial derivative and chain rule

  • rsaad
  • · Replies 1 ·
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1

Graduate Infinite sequences containing every possible subsequence

  • pob1212
  • · Replies 10 ·
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10
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1

Undergrad Why Do Algebraic Tricks in Calculus Confuse Me?

  • mindheavy
  • · Replies 5 ·
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5

Proofs on growth rates of functions theorems using definition of a limit

  • ATroelstein
  • · Replies 3 ·
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3

Graduate How Does the Ratio of Lattice Points to Radius Behave as Radius Increases?

  • Shoelace Thm.
  • · Replies 1 ·
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1

Partial fraction decomposition

  • MarkFL
  • · Replies 1 ·
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1

Expanding log[(x+epsilon)^2 + y^2] as epsilon→0

  • Tranquillity
  • · Replies 6 ·
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6

Graduate Prove Two/Three Euler Angles Needed for Orientation Change

  • TheFerruccio
  • · Replies 3 ·
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3

Calculating moments of inertia

  • Dustinsfl
  • · Replies 4 ·
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4

Undergrad Why can we cancel dx in Leibniz notation if it's not a fraction?

  • paul2211
  • · Replies 9 ·
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9
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1

Undergrad What is the s in the Taylor polynomial error term?

  • wahaj
  • · Replies 2 ·
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2

Center of Mass Calculus 2 Integration

  • Dustinsfl
  • · Replies 4 ·
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4

Graduate Solving a Divergence Question: What Equation Do I Use?

  • matematikuvol
  • · Replies 5 ·
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5

Undergrad Provide some rotations to obtain common shapes?

  • Permanence
  • · Replies 6 ·
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6

Undergrad Why do some functions not have Anti derivatives?

  • Hysteria X
  • · Replies 13 ·
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13

Undergrad Solids of Revolution around y = x

  • TheAbsoluTurk
  • · Replies 10 ·
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10

What Is the Range of sec^4(x) + csc^4(x)?

  • abender
  • · Replies 10 ·
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10

Undergrad Function Describing Caloric Target

  • CaseyJRichard
  • · Replies 2 ·
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2

Undergrad Are the following two integrals equivalent? [basic]

  • Permanence
  • · Replies 2 ·
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2

Undergrad What is the difference between dy/dx, Δy/Δx, δy/δx and ∂y/∂x?

  • CraigH
  • · Replies 10 ·
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10

What is the geometric interpretation of a \centerdot c = 0?

  • GreenGoblin
  • · Replies 10 ·
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10
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1

Graduate Discrete Fourier Transform and Hand-waving

  • mathman44
  • · Replies 2 ·
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2

Prove the Integral: $$\frac{-\pi}{4}$$

  • The Lord
  • · Replies 3 ·
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3

Undergrad Diffrentiability of function with two variable

  • The Rahul
  • · Replies 6 ·
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6

Karla's question at Yahoo Answers (Intermediate Value Theorem).

  • Fernando Revilla
  • · Replies 1 ·
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1

Undergrad How Do You Derive a = mg / (M + m) from the Given Equations?

  • shanemcguffin
  • · Replies 2 ·
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2

Graduate How fast are planets flowing into stars? I got the equations.

  • astrostuart
  • · Replies 6 ·
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6

Bruno's question at Yahoo Answers (Tangent line to an ellipse).

  • Fernando Revilla
  • · Replies 2 ·
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2

Graduate What is the divergence of a unit vector not in the r direction?

  • SiggyYo
  • · Replies 3 ·
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3

Undergrad Critical Points of cos y & cos 2x - Why the Difference?

  • rsaad
  • · Replies 2 ·
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2

Graduate Integral from 0 to ∞ with singularity at x=0

  • RedSonja
  • · Replies 3 ·
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3

Undergrad How to Simplify Inductor Expressions Using Calculus?

  • xconwing
  • · Replies 2 ·
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2

Graduate Can the integral be evaluated without Mathematica?

  • mmzaj
  • · Replies 2 ·
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2

Continuous function with limit as x approaches infinity

  • Yankel
  • · Replies 3 ·
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3

Undergrad Do you need to learn function domains for astrophysics?

  • DeepSpace9
  • · Replies 2 ·
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2

Graduate How to derive the del operator in spherical and cylindrical coordinates

  • dexterdev
  • · Replies 5 ·
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5

Undergrad I don't understand how to differentiate integrals

  • sarahaha44
  • · Replies 9 ·
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9

What Are the Values of a and b for a Cubic Curve's Tangent Line?

  • MarkFL
  • · Replies 1 ·
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1

Numerical Integration: Find x to 3 Decimal Points

  • Albert1
  • · Replies 9 ·
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9

Graduate Derivative of Log Determinant of a Matrix w.r.t a scalar parameter

  • fbelotti
  • · Replies 5 ·
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5

Limit of x³(ln(x))² as x approaches 0

  • Yankel
  • · Replies 1 ·
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1

Undergrad Physical and geometrical meaning of limits

  • shivakumar06
  • · Replies 2 ·
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2

Lamps's question at Yahoo Answers about the Intermediate Value Theorem

  • Fernando Revilla
  • · Replies 1 ·
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1

De l'Hospital's theorem - proof

  • Arnold1
  • · Replies 6 ·
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6

Sydney's question at Yahoo Answers regarding root approximation

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Greens theorem and parametrization

  • Syrena
  • · Replies 2 ·
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2

Undergrad Solid of revolution knowing only area?

  • joeblow
  • · Replies 6 ·
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6

Undergrad Integration by parts with e^(3x) and x^2 terms

  • Ein Krieger
  • · Replies 3 ·
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3

Prove that ∫₀^∞ ln(tan²(x))/(1+x²) dx = π ln(tanh(1))

  • The Lord
  • · Replies 1 ·
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1

How Does Integration by Parts Solve the Integral of Tanh(x)/(xe^x)?

  • alyafey22
  • · Replies 3 ·
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3

Graduate Can we Simplify the Integration of Q Function with a Change of Variable?

  • myarram
  • · Replies 3 ·
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3

Undergrad Why do we use anti-derivatives to find the values of definite integrals?

  • tahayassen
  • · Replies 18 ·
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18

Undergrad Does the derivative measure the slope over an infinitesimally small distance?

  • thewoodpecker
  • · Replies 5 ·
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5

Janet's question at Yahoo Answers involving the Witch of Agnesi

  • MarkFL
  • · Replies 1 ·
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1

Ahmed's question at Yahoo Answers regarding the midpoint rule

  • MarkFL
  • · Replies 1 ·
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1

Using Lagrange multipliers to maximize gamma in orbital mechanics

  • Dustinsfl
  • · Replies 3 ·
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3

Undergrad Finding Limits of Functions with Multiple Sets of Variables

  • Mathoholic!
  • · Replies 5 ·
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5

Undergrad How did this expansion take place?

  • M. next
  • · Replies 6 ·
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6

Undergrad Trigonometric Inverse Substitution: How do we know which substitutions to use?

  • tahayassen
  • · Replies 7 ·
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7

Maximizing area of a Norman window with 25 feet perimeter

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Discrete Fourier Transform on even function

  • mathman44
  • · Replies 10 ·
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10

Undergrad Integration: what variables can you move outside of the integrand?

  • tahayassen
  • · Replies 5 ·
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5

Katie's question at Yahoo Answers: trigonometric equation

  • Fernando Revilla
  • · Replies 5 ·
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5

Graduate Method of Proving Euler's Formula?

  • Mandelbroth
  • · Replies 12 ·
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12

F continuous and {f(x)} = f({x}) implies f(x) or f(x)-x periodic

  • Fernando Revilla
  • · Replies 4 ·
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4
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1

Undergrad Why won't standard curve length function work in semi-circle?

  • cantRemember
  • · Replies 13 ·
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13

How to Prove Continuity Using the Epsilon-Delta Definition?

  • GreenGoblin
  • · Replies 3 ·
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3

B's question at Yahoo Answers involving a solid of revolution

  • MarkFL
  • · Replies 1 ·
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1

Undergrad Integrating 3x^2*ln(x) by parts and factoring

  • feynmanpoint
  • · Replies 2 ·
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2

Undergrad Finding the position directly behind a player

  • wolfknight
  • · Replies 3 ·
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3

Graduate Partition a divergent integral into finite values

  • LikeMath
  • · Replies 3 ·
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3

Graduate Integration by Parts in 2D: How to Apply the Rule in Polar Coordinates?

  • soks
  • · Replies 1 ·
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1

Undergrad Piecewise Functions: Parabola Vertex on x-axis +ve, One Function?

  • Coco12
  • · Replies 7 ·
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7

Undergrad Why do we use the natural log in the derivative of an exponential function?

  • QuickLoris
  • · Replies 6 ·
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6

Definite Integral #2: Prove \[\pi/2 \text{sech}(\pi/2)\]

  • sbhatnagar
  • · Replies 4 ·
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4

Michael's question at Yahoo Answers involving L'Hôpital's rule

  • MarkFL
  • · Replies 2 ·
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2

Undergrad How to know which differential to choose

  • wahaj
  • · Replies 10 ·
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10

Graduate Maximal invariance group for constant acceleration?

  • strangerep
  • · Replies 0 ·
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0

Undergrad Showing the properties of differentiating an integral

  • greswd
  • · Replies 5 ·
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5