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 can you evaluate this integral using an analytic method?

  • JulieK
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2

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

  • anemone
  • · Replies 1 ·
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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
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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
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2

Graduate Problem with summing a divergent series

  • leehufford
  • · Replies 4 ·
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4

Graduate Relating ∫yx dx and ∫xy dy for a curve y=f(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

Finding marginal and average cost from C(x) = 300x - 10x² - 1/3x³

  • 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 Sketching the derivative graph from a function's tangent lines

  • 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 between curves: (sec x)²/4 and 4(cos x)²

  • brickair
  • · Replies 2 ·
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2

Undergrad Why define M(e)=1 instead of another value

  • 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 Deriving approximation for e^y from equation 4.31

  • 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

Solving the integral of sqrt(1 - 1/x³)

  • 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 minimum at origin: when is 2a > 0 and 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 Can I change variables in an integration by parts integral from x to f(x)?

  • 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 of sin(x)/x from 0 to a

  • 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

Why use e^(-iπ) and not e^(-i3π) for ln(-1)

  • 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 the ellipses 0 = x² - 2x + 4y² and 8 = x² - 2x + 4y²

  • 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 Derivative of e^x using hyperbolic functions

  • Some_dude91
  • · Replies 7 ·
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7

High School How does finding the slope at a point relate to optimization?

  • 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

Second derivative of the eta function at x=4

  • 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 of 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

Evaluating the sum with alternating odd reciprocal squares

  • Saitama
  • · Replies 9 ·
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9