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 Why is the derivative of a complex conjugate zero in quantum mechanics?

  • daudaudaudau
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Undergrad Does the distributive property apply to dot products with negative vectors?

  • teeeeee
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1

Undergrad Why does integrating y = √(r² - x²) give wrong areas?

  • tuoni
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2

Undergrad First step of this simple limit problem

  • sachin_naik04
  • · Replies 11 ·
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11

Graduate Fourier transform of shifted and scaled functions

  • hanafnaf
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3

High School Find a when lim f(x)=(x^2+x+a)/(x-1) = 3 x->1

  • jgthb
  • · Replies 4 ·
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4

Undergrad What is the correct integration of arcsin(x) using integration by parts?

  • Charismaztex
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5

Undergrad What Are the Coordinates of the Rectangle with Maximum Area?

  • jtesttubes
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5

Graduate How do you solve this integral using the classic mistake method?

  • Alexx1
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10

Undergrad Very basic partial derivatives problem

  • mnb96
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2

Undergrad Integral of sqrt(4-x^2)*sign(x-1)

  • Alexx1
  • · Replies 9 ·
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High School How Much Money Would You Have After 30 Days of Doubling?

  • jtesttubes
  • · Replies 5 ·
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5

Undergrad Can we use integration by parts for improper integrals?

  • daudaudaudau
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13

Undergrad Is this Integration of sin^2(x) Correct?

  • planck42
  • · Replies 8 ·
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8

Graduate Does a Time-Dependent Vector Rotate Around a Fixed Vector?

  • Niles
  • · Replies 1 ·
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Graduate Is There a Matrix Equivalent to Green's Function for Differential Equations?

  • daudaudaudau
  • · Replies 1 ·
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1

Undergrad Quick one regarding Integration

  • specwarop
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1

Undergrad How to solve the integral of sqrt(1+((x^4-1)/(2x^2))^2)

  • Alexx1
  • · Replies 13 ·
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13

Undergrad Setting integration limits for volume with symmetric parabola

  • pamparana
  • · Replies 1 ·
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1

Undergrad How do I solve the integral of x²/(x²+1)²?

  • Alexx1
  • · Replies 8 ·
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8

Undergrad Whats the intergral of sqrt(25-9x^2)?

  • grizz45
  • · Replies 6 ·
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6

Graduate Searching for a particular kind of convergent sequence

  • A-ManESL
  • · Replies 3 ·
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3

Graduate Integration using residue theory

  • jameson2
  • · Replies 4 ·
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4

Graduate Complex Integration-Residue Theory

  • jameson2
  • · Replies 1 ·
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1

Undergrad Partial Fractions: Expanding 1/(1+z^3)^2

  • jameson2
  • · Replies 2 ·
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2

Undergrad Next destination in my voyage through Mathematics

  • jegues
  • · Replies 9 ·
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9

Undergrad Chain rule notation - can Leibniz form be made explicit?

  • seand
  • · Replies 5 ·
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5

Graduate Principal Part of Complex Function

  • jameson2
  • · Replies 1 ·
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1

Undergrad Conceptual question of integration and derivation

  • BBRadiation
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5

Undergrad How does integration connect to area under a curve?

  • yyttr2
  • · Replies 3 ·
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3

Undergrad What is the Formula for Calculating Surface Area of Revolution?

  • ƒ(x)
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1

Graduate Green's Theorem and Conservative Fields

  • n1person
  • · Replies 3 ·
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3

Undergrad What is the first derivative of x(t) with a missing factor of w?

  • viciado123
  • · Replies 1 ·
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1

Graduate How, in general, do you expand an expression in powers of some variable?

  • AxiomOfChoice
  • · Replies 8 ·
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Graduate How Do You Prove the Equivalence of These Definitions of Measurability?

  • AxiomOfChoice
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1

Graduate Is there a general series with a real function exponent for n?

  • MathematicalPhysicist
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2

Graduate Can this tricky integral be solved in general?

  • Muppetmaster
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3

Graduate Proving two functions are equal under an integral

  • dreNL
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3

Undergrad What is the power series for sqrt(x+1) using the square root algorithm?

  • lilcoley23@ho
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2

Graduate How do i find the arc length of an implicit curve given by f[x,y]=0?

  • okkvlt
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5

Undergrad Why is $\lim_{x \rightarrow \infty} (1+\frac{1}{x})^x = e$?

  • Zarlucicil
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1

Graduate How Can the Series Expansion of Cosec^2 Pi x Be Derived?

  • alle.fabbri
  • · Replies 4 ·
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4

Undergrad Convergent Sequence: t^n/(n Factorial) Limit as n->∞?

  • aroosak
  • · Replies 6 ·
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Graduate What is the volume of a region in R3 bounded by a hyperboloid and two planes?

  • calcer7531
  • · Replies 2 ·
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2

Undergrad Testing Divergence: Alternating Series

  • Sahara
  • · Replies 4 ·
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4

Undergrad Something Interesting I Realized About Integrals

  • okkvlt
  • · Replies 1 ·
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1

Graduate Struggling with proofs in Courant's calculus book

  • osnarf
  • · Replies 2 ·
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2

Undergrad Why Should We Consider Compactness in Sets?

  • remaths
  • · Replies 4 ·
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4

Undergrad Why surface area of revolution needs arc length, not just circumference

  • kscribble
  • · Replies 2 ·
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2

Graduate Using series to solve definite integrals

  • CDrappi
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Graduate Riemann integrable functions continuous except on a set of measure zero?

  • AxiomOfChoice
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2

Undergrad Why is simpsons rule exact for 3rd degree polynomials?

  • okkvlt
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2

Graduate An algorithm for numerical double integration over non-rectangular regions.

  • okkvlt
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1

Undergrad Would it be true that if a set is bounded

  • DPMachine
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1

Graduate Power radiated by point charge Calculus

  • HPRF
  • · Replies 3 ·
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3

Undergrad How to Integrate cosx/((sinx)^2 + 1) with Respect to x

  • tmozam
  • · Replies 7 ·
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7

Undergrad Sum of geometric series starting at n=1

  • esvion
  • · Replies 5 ·
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5

Undergrad Is the angle of intersection of two curves the same in polar and cartesian coordinates?

  • JanClaesen
  • · Replies 7 ·
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7

Graduate Is there a simpler method for finding the integral of sqrt(tan x)?

  • murshid_islam
  • · Replies 10 ·
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10

Graduate How do i maximize the line integral?

  • okkvlt
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2

Graduate Describe the cycloid described by a wheel rolling inside a circle

  • JanClaesen
  • · Replies 1 ·
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1

Graduate Real analysis definition question

  • royzizzle
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3

Graduate Infinite Sum: What Does b Converge To?

  • Marth361
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1

Undergrad Calculate Charge Entering Element 0-2 Sec: Simple?

  • faraznizamani
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3

Graduate Integral of the function exp(Shi(x))

  • Seong-Yil Kim
  • · Replies 3 ·
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3

Undergrad How can I do integrals by just eyeing them?

  • iamsmooth
  • · Replies 5 ·
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5

Undergrad Local max and min at a if lim f(x) approaching a does not exist

  • merry
  • · Replies 2 ·
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2

Graduate If mn=1 for integers m and n, must m and n both equal ±1?

  • johnjuwax
  • · Replies 2 ·
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2

Undergrad Finding Legendre Transform of f(x) = (|x|+1)2

  • Niles
  • · Replies 2 ·
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2

Undergrad Testing System Linearity and Shift Invariance

  • hanafnaf
  • · Replies 5 ·
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5

Undergrad Proof of Limit of (ln(e)) as h→0

  • FabledIntg
  • · Replies 19 ·
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19

Graduate Compact Operators and the Unit Ball

  • Kreizhn
  • · Replies 3 ·
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3

Graduate Solution to Sum of Exponential Squared Series

  • m00se
  • · Replies 1 ·
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1

Undergrad What are the rules for using maximum in inequalities?

  • Niles
  • · Replies 2 ·
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2

Graduate Hypergeometric Function around z=1/2

  • betel
  • · Replies 2 ·
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2

Graduate Is my proof of greens theorem correct?

  • okkvlt
  • · Replies 5 ·
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5

Graduate How Does the Jacobian Correct Signal Intensity in MRI Imaging?

  • pamparana
  • · Replies 3 ·
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3

Graduate Solving Integral Problem: Limit of Sum of Cosines

  • Upiór
  • · Replies 2 ·
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2

Undergrad What is the integration of (ln(x))^n?

  • saeed69
  • · Replies 1 ·
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1

Graduate Finding the inverse of cosh²(x)+sinh(2x)

  • JanClaesen
  • · Replies 5 ·
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5

Undergrad What is the relationship between the gradient and level sets of a function?

  • pamparana
  • · Replies 1 ·
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1

Undergrad Expand Integrand: Understand Int'l Calculus Concepts

  • jwxie
  • · Replies 1 ·
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1

Undergrad Sphere and cylinder intersection

  • s.py
  • · Replies 2 ·
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2

Graduate Why are rectangular unit vectors constant while polar unit vectors change?

  • delve
  • · Replies 4 ·
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4

Graduate Looking for a function with derivatives of

  • krausr79
  • · Replies 10 ·
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10

Graduate Difference between F̄(A×A) and F̄(A)×F̄(A) for finite and countable sets

  • zeebo17
  • · Replies 7 ·
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7

Undergrad Sum of series problem 23: why is my answer 14.4 instead of 2.84?

  • jwxie
  • · Replies 2 ·
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2

Graduate Summation of a sequence by parts.

  • r.a.c.
  • · Replies 2 ·
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2

High School What is the relationship between integrals and derivatives in calculus?

  • zeromodz
  • · Replies 3 ·
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3

Undergrad Modeling a function that increases at a decreasing rate toward a limit

  • rahulsanand
  • · Replies 1 ·
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1

Undergrad Why doesn't e^-x^2 have an elementary antiderivative?

  • Char. Limit
  • · Replies 22 ·
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22

Graduate A comparison on binomial expansion

  • forumfann
  • · Replies 5 ·
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5

Graduate Is Injectivity of the Generalized Laplace Transform Proveable?

  • Pere Callahan
  • · Replies 1 ·
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1

Graduate Is phi the Actual Angle on an Ellipse?

  • elegysix
  • · Replies 3 ·
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3

Graduate Homotopy of Closed Curves on a Simply Connected Region

  • IniquiTrance
  • · Replies 3 ·
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3

High School What Grade Level Does Calculus Extend to in Electrical DAE Programs?

  • otomanb
  • · Replies 2 ·
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2

Undergrad When can I use inverse differentials to calculate derivatives?

  • Allday
  • · Replies 3 ·
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3

Graduate Is a Continuously Converging Function on [0,∞) Uniformly Continuous?

  • A-ManESL
  • · Replies 6 ·
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6

Graduate Proof using implicit differentiation

  • John O' Meara
  • · Replies 1 ·
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1

Undergrad Conservative vector field conditions

  • understand.
  • · Replies 2 ·
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2