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

Proving $2P(x)>P'(x)$ with Continuous Third Derivative of $P(x)$

  • anemone
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1

Undergrad Double Integral of Pythagoras over rectangular region

  • ctchervenkov
  • · Replies 3 ·
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3

Solving an Integral Using Trig Substitution

  • shamieh
  • · Replies 2 ·
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2

Graduate Calculus of variations with isoparametric constraint

  • MisterX
  • · Replies 1 ·
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1

Graduate Problem with Lagrange's Equations of Motion

  • Pelfaid
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1
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3

What Mistake Was Made in This Polynomial Long Division?

  • shamieh
  • · Replies 2 ·
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2

Graduate Problem with summing a divergent series

  • leehufford
  • · Replies 4 ·
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4

Graduate Website title: Formal Relation Between Integrals of y=f(x) and y=x

  • JulieK
  • · Replies 1 ·
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1

Using continuity to determine if there is a number one more than it's cube

  • bsmithysmith
  • · Replies 7 ·
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7

Maximum light through the window

  • marutkpadhy
  • · Replies 3 ·
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3

Cost Functions for a Firm: Marginal & Average Cost

  • marutkpadhy
  • · Replies 1 ·
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1

Find the partial fraction decomposition for the rational function.

  • shamieh
  • · Replies 1 ·
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1

How Is the Derivative of e^(i*theta) Derived?

  • E01
  • · Replies 1 ·
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1

Graduate Subdividing an integral into a sum of integrals over a given interval

  • "Don't panic!"
  • · Replies 4 ·
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4

Undergrad What if it's not a unit vector in directional derivatives

  • kochibacha
  • · Replies 2 ·
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2

Graduate Why must the form of v_i v_j be independent of coordinate system?

  • member 428835
  • · Replies 4 ·
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4

Graduate What Does an Isotropic Cartesian Tensor Look Like in Higher Dimensions?

  • TSC
  • · Replies 5 ·
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5

Continuity of the Inverse Function

  • bsmithysmith
  • · Replies 1 ·
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1

Graduate On general expansion of cos nΘ

  • julian
  • · Replies 12 ·
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12

Region between two curves, trig twist?

  • stripedcat
  • · Replies 4 ·
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4

Graduate What Does the Definition of a Contravariant Vector Mean in Tensor Analysis?

  • HasuChObe
  • · Replies 4 ·
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4

Graduate Why Is the Integral of the Dirac-Delta Function One?

  • Bashyboy
  • · Replies 18 ·
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18

Graduate Does iωLog[(-iω + √((r^2-ω^2)/r)] = ArcTan[ω/√(r^2-ω^2)]?

  • Katy_A
  • · Replies 6 ·
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6

Graduate How Do You Solve the Legendre Differential Equation?

  • STEMucator
  • · Replies 18 ·
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18

Graduate Integration with hypergeometric function

  • JulieK
  • · Replies 5 ·
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5

How do I derive and solve the equation for the athlete's running speed?

  • Simonio
  • · Replies 11 ·
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11

Evaluating a Sum Problem: Find Value

  • Saitama
  • · Replies 3 ·
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3

Graduate Proving Vector Integral Identity

  • TSC
  • · Replies 2 ·
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2

How fast is the lighthouse beam moving along the shoreline?

  • karush
  • · Replies 6 ·
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6

High School Help with interpreting a derivative of a given function geometrically.

  • TitoSmooth
  • · Replies 2 ·
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2

Looking for a specific Fourier Theory book, possibly from the 70s

  • Franki
  • · Replies 4 ·
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4

Graduate A spherical raindrops evaporates at rate proportional to surface area?

  • kochibacha
  • · Replies 4 ·
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4

Graduate Finding d in Circle-Circle Intersection Equation

  • FysixFox
  • · Replies 6 ·
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6

Graduate Intuition for imaginary part of Fourier Transformation?

  • 159753x
  • · Replies 3 ·
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3

Volume of Solid of Revolution; Simpson's Rule

  • kap1
  • · Replies 1 ·
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1

Summation #2 Prove: $\sum_{k=1}^n (2^k\sin^2\frac{x}{2^k})^2$

  • Saitama
  • · Replies 3 ·
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3

Graduate Order of rows in the Jacobian arbitrary?

  • geoduck
  • · Replies 1 ·
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1

Summation Challenge #1: Evaluate $\sum$

  • Saitama
  • · Replies 2 ·
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2

Graduate Completing a Fourier Transform Integral

  • ajw124
  • · Replies 1 ·
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1

Graduate Tautologous Form: What Does It Mean?

  • Bashyboy
  • · Replies 2 ·
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2

Graduate Divergence Theorem/Surface Gradient

  • Parmenides
  • · Replies 1 ·
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1

Graduate Challenge 19: Infinite products

  • micromass
  • · Replies 4 ·
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4

Area B/w Curves: y=(secx)^2/4 & 4(cosx)^2

  • brickair
  • · Replies 2 ·
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2

Undergrad Derivative of a^x: Learn to Calculate M(a) and e^x

  • adjacent
  • · Replies 13 ·
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13

What is the rate of change, in radians p/s

  • karush
  • · Replies 10 ·
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10

Graduate Help understanding this approximation

  • Ryuzaki
  • · Replies 1 ·
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1

Graduate Second derivative test and hessian matrix

  • clairaut
  • · Replies 10 ·
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10

Undergrad Can We Determine a Function from Known X and Y Values?

  • albertrichardf
  • · Replies 1 ·
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1

Graduate Intuition for positive third derivatives

  • economicsnerd
  • · Replies 6 ·
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6

Undergrad How can I make these series equal to each other?

  • hddd123456789
  • · Replies 4 ·
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4

Help with Solving Indefinite Integral

  • laura1231
  • · Replies 6 ·
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6

Graduate Proving the Local Maxima of a Rectangle Partition with Two Parallel Lines

  • clairaut
  • · Replies 3 ·
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3

Local Min Problem: Solve 2a>0 & 4a2-1 > 0?

  • Yankel
  • · Replies 1 ·
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1

Proving Stokes' Theorem with Green's Theorem

  • mathmari
  • · Replies 7 ·
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7

Undergrad Is this a valid operation (integration by parts)?

  • jam_27
  • · Replies 5 ·
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5

Graduate Showing convexity of a discrete function

  • TaPaKaH
  • · Replies 2 ·
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2

Graduate Is the order of limits interchangeable?

  • Jhenrique
  • · Replies 4 ·
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4

Graduate Integral definition of factorial

  • Runei
  • · Replies 12 ·
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12

Graduate Integral with infinitesimal under root

  • Jhenrique
  • · Replies 4 ·
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4

Undergrad Is the Sequence xn=1/(n-2) Convergent for All Values of n?

  • kelvin490
  • · Replies 3 ·
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3

What are the minimum and maximum values of the given function?

  • Albert1
  • · Replies 2 ·
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2

Undergrad Integral sin(x)/x 0 to a: Explained

  • sreemanti
  • · Replies 2 ·
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2

How Do You Apply the Washer Method Correctly?

  • stripedcat
  • · Replies 5 ·
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5

Undergrad How Do I Solve This Integral with Given Restrictions?

  • Gianfelici
  • · Replies 9 ·
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9
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5

Solving a Tricky Chain Rule Question with Confusing Variables

  • Yankel
  • · Replies 2 ·
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2

Series Convergence: Test for x Values

  • karush
  • · Replies 2 ·
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2

Combining Stoke's Theorem and the Divergence Theorem?

  • Vishak95
  • · Replies 5 ·
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5

Find Minimum of Inequality Expression: 0<x<π/2

  • Saitama
  • · Replies 2 ·
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2

How Do You Integrate (z^5 + 9z^2) * (z^3 + 1)^12?

  • shamieh
  • · Replies 4 ·
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4

Undergrad Infinite series and improper integrals

  • leehufford
  • · Replies 3 ·
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3

Graduate Integrating a differential (Problem in thermodynamic derivation)

  • Runei
  • · Replies 1 ·
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1

Graduate An integral relation in soil physics

  • re444
  • · Replies 5 ·
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5

Evaluation of Infinite sum of Inverse Trig. Series.

  • juantheron
  • · Replies 1 ·
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1

Undergrad Does an infinite number of zeros equal R1?

  • student34
  • · Replies 2 ·
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2

Shell Method Example: Finding Volume Around Axes and a Line

  • stripedcat
  • · Replies 2 ·
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2

A very basic question about integration

  • Saitama
  • · Replies 10 ·
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10

Graduate How Do I Integrate This Sphere-Related Equation Correctly?

  • jderulo
  • · Replies 10 ·
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10

Undergrad Sketching Ellipses: Comparing 0 and 8

  • JC3187
  • · Replies 4 ·
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4

Graduate Difference of a function and a finite sum

  • FranzDiCoccio
  • · Replies 8 ·
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8

Undergrad How Do You Calculate Work Done by a Non-Constant Drag Force?

  • Lourens
  • · Replies 4 ·
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4

Graduate How Can I Solve This Complex Integral with a Singularity?

  • hiyok
  • · Replies 4 ·
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4

A Dilogarithmic integration by parts

  • DreamWeaver
  • · Replies 6 ·
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6

Undergrad Integral, why antiderivative is area under curve

  • kidsasd987
  • · Replies 1 ·
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1

Min-Max over a closed bounded region

  • Yankel
  • · Replies 2 ·
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2

High School Strategies for drawing space curves?

  • vanceEE
  • · Replies 4 ·
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4

Graduate Inverse function theorem over matrices

  • brunob
  • · Replies 3 ·
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3
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9

Partial derivatives-polar coordinates

  • evinda
  • · Replies 5 ·
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5

Undergrad Question about calculus, on derivatives

  • Some_dude91
  • · Replies 7 ·
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7

High School How do derivatives provide answers for optimization problems ?

  • urbano
  • · Replies 3 ·
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3

What is the integral representation of the Digamma function?

  • DreamWeaver
  • · Replies 4 ·
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4

An almost elementary differentiation problem....

  • DreamWeaver
  • · Replies 2 ·
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2

A Clausen function triplication formula

  • DreamWeaver
  • · Replies 1 ·
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1

Graduate Can Power Series Expansions be Centered About Any Point?

  • STEMucator
  • · Replies 2 ·
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2

Integral by Parts: Solving 2 Integrals Involving Arctg(x) & Sqrt(1-x^2)

  • leprofece
  • · Replies 4 ·
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4

Solve Integral by Parts: exsqrt(x)

  • leprofece
  • · Replies 7 ·
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7

Efficient Methods for Evaluating Complex Sums: A Scientific Approach

  • Saitama
  • · Replies 9 ·
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9

Calculate Dist from Dog to Column When Rope Breaks

  • leprofece
  • · Replies 1 ·
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1