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

High School Integrating x and xdx: What's the Difference?

  • Make
  • · Replies 2 ·
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2

Undergrad Proving the Convergence of (2n^2+n)/(n^2) to 2

  • jeff1evesque
  • · Replies 8 ·
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8

Graduate Any important inequalities with convolutions?

  • jostpuur
  • · Replies 2 ·
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2

Undergrad Can a Non-Decreasing Function Have a Limit at Infinity?

  • Legendre
  • · Replies 4 ·
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4

Undergrad Calc III Problem Integrating Sq Rt's in Arc Length Formula

  • yUNeeC
  • · Replies 2 ·
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2

Graduate Integration of Dirac delta w/ different dimensionalities

  • FredMadison
  • · Replies 4 ·
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4

Undergrad Shouldn't a 3D vector be 6 numbers instead of 3?

  • LucasGB
  • · Replies 19 ·
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19

Undergrad How are we able to differentiate both sides of an equation?

  • Juwane
  • · Replies 11 ·
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11

Graduate Isn't this definition ambiguous?

  • LucasGB
  • · Replies 1 ·
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1

Graduate Is A dense set in the reals and f(x)=0 for all x in A, does f(x)=0 for all x?

  • Bleys
  • · Replies 3 ·
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3

Graduate Trying to find the measure of a set.

  • Jamesandthegi
  • · Replies 5 ·
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5

Graduate Proving convergence is equivalent in metrics (X,ρ) and (X,σ(x,y)=min(ρ(x,y),1))

  • kingwinner
  • · Replies 26 ·
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26

Graduate Generating functions and summation

  • Pere Callahan
  • · Replies 1 ·
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1

Undergrad What is the approach for solving problems involving sums and limits?

  • Apteronotus
  • · Replies 4 ·
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4

Undergrad Why does the antiderivative method fail for |2x-3| from 0 to 2?

  • njama
  • · Replies 4 ·
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4

Undergrad How can we know how many solutions an equation has?

  • Juwane
  • · Replies 3 ·
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3

Undergrad Identifying cos^2 (wt+θ) in Signals Example Problem

  • Peon666
  • · Replies 1 ·
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1

Graduate Solving a Serious Math Problem

  • vip89
  • · Replies 10 ·
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10

Undergrad Change of variable, why can I not multiply the differentials directly

  • phucnguyen
  • · Replies 3 ·
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3

Undergrad Convergent and Divergent Integrals

  • Anonymous217
  • · Replies 20 ·
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20

Graduate Finding the Derivative of Factorial Function

  • coki2000
  • · Replies 6 ·
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6

Undergrad Absolute values in standard integrals

  • NanakiXIII
  • · Replies 2 ·
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2

Graduate Why Does the Contour Integral Contribution Vanish as Beta Approaches Infinity?

  • eraserxp
  • · Replies 6 ·
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6

Graduate Question on derivative of multi variable.

  • yungman
  • · Replies 4 ·
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4

Graduate Proving Finite Lebesgue Measure of A When B Is Contained Within

  • mikesmith00
  • · Replies 3 ·
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3

Graduate Computing area of astroid curve using divergence theorem

  • nebbie
  • · Replies 1 ·
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1

Graduate Confused about the intergral over a sphere

  • khkwang
  • · Replies 6 ·
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6

Undergrad How do you calculate integrals over ∂B(0,1) in R?

  • Matthollyw00d
  • · Replies 3 ·
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3

Undergrad Calculating an Integral with the Limit of Infinity

  • steven187
  • · Replies 4 ·
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4

Undergrad Integral notation with short horizontal line

  • jostpuur
  • · Replies 5 ·
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5

Graduate Antiderivative of multivariable function?

  • mnb96
  • · Replies 14 ·
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14

Undergrad Limit of (exp(imx) - 1)/(ix) as x approaches 0

  • student111
  • · Replies 2 ·
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2

Undergrad Does My Polynomial Integral Equation Hold for All Polynomials?

  • yyttr2
  • · Replies 2 ·
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2

Undergrad Solving Limits of Sums: Ideas Needed

  • Apteronotus
  • · Replies 5 ·
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5

Graduate Line, surface and volume integrals

  • LucasGB
  • · Replies 2 ·
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2

Undergrad How Do You Prove the Chain Rule in Calculus?

  • Corneo
  • · Replies 15 ·
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15

Graduate Conceptual questions about multiple integrals and dimensions

  • Urmi Roy
  • · Replies 12 ·
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12

Graduate Why aren't all 3 numbers a vector?

  • LucasGB
  • · Replies 7 ·
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7

Undergrad Understanding Triangle Inequality and applying it

  • MJC684
  • · Replies 2 ·
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2

Undergrad Relationship between Analysis and Computer science

  • Deep water
  • · Replies 2 ·
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2

Undergrad Relationship between the derivative of f and the derivative of f inverse

  • Juwane
  • · Replies 3 ·
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3

Undergrad Locating Local Extrema in a Polynomial Equation

  • alex123aaa
  • · Replies 8 ·
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8

Graduate Permissibility of Limit Technique

  • Yitzach
  • · Replies 6 ·
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6

Graduate Reversing the Definition of Limit: Does the Error Alter its Meaning?

  • lith101
  • · Replies 3 ·
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3

Graduate What is the value of the Mellin transform ?

  • zetafunction
  • · Replies 3 ·
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3

High School Derivative and integral (inverse operations?)

  • Taturana
  • · Replies 3 ·
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3

Graduate Simple integral, example or general solution correct?

  • ExtravagantDreams
  • · Replies 4 ·
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4

Undergrad Integration by parts, can you do this?

  • earlofwessex
  • · Replies 6 ·
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6

Graduate Continuous bounded functions with no global extrema

  • tiki84626
  • · Replies 1 ·
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1

Undergrad Total derivative of a function with independent variables

  • mnb96
  • · Replies 6 ·
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6

Undergrad Proving limx→a[x+f(x)]=a+L with delta-epsilon definition

  • conorsmom
  • · Replies 2 ·
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2

Undergrad What Is the Geometric Interpretation of the Derivative of a Velocity Vector?

  • Seedling
  • · Replies 2 ·
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2

Graduate Convergence of Infinite Sums and Limits: A L'Hopital's Rule Perspective

  • Apteronotus
  • · Replies 2 ·
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2

Graduate Are Shifted Sinc Functions Orthogonal for Any Real Value of x_0?

  • mnb96
  • · Replies 5 ·
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5

Undergrad How do I set up a surface integral over a triangle in 3D?

  • theneedtoknow
  • · Replies 8 ·
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8

Undergrad Why does the definition of cosh and sinh contain division by 2?

  • Juwane
  • · Replies 2 ·
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2

Graduate Trigonometric Limit: Solve the Expression

  • intervoxel
  • · Replies 4 ·
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4

Undergrad How can I solve inequations with logarithms?

  • quacam09
  • · Replies 6 ·
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6

Graduate What is the Coarea Formula and How Can It Be Proven?

  • Matthollyw00d
  • · Replies 2 ·
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2

Graduate Expotanial integration exp(ax^n+bx) ?

  • s210995
  • · Replies 3 ·
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3

Graduate A sum I wish I never came across

  • Apteronotus
  • · Replies 4 ·
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4

Undergrad How do you calculate the sum of this infinite series?

  • astroboy17
  • · Replies 6 ·
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6

Undergrad Functions that cannot be integrated

  • trdiayw
  • · Replies 24 ·
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24

Graduate Converting a problem solved with numerical analysis to a simple exponential

  • bill.connelly
  • · Replies 8 ·
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8

Undergrad The Fundamental Theorem of Calculus, Part I

  • LucasGB
  • · Replies 13 ·
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13

Graduate How do I solve the integral of exp(-x^2) between -a and a?

  • Swiss Army
  • · Replies 21 ·
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21

Undergrad What is the proof for the geometric series formula?

  • Rasalhague
  • · Replies 12 ·
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12

High School Which AP Calculus Exam Should I Take: AB or BC?

  • jacksonpeeble
  • · Replies 1 ·
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1

Undergrad When can I apply the idea of differentials?

  • LucasGB
  • · Replies 4 ·
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4

Undergrad Is the ordinary integral a special case of the line integral?

  • LucasGB
  • · Replies 3 ·
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3

Graduate What does it mean for one norm to be stronger than another?

  • Somefantastik
  • · Replies 1 ·
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1

High School AP Calculus midterm prep: optimization, integrals, and applications

  • Char. Limit
  • · Replies 14 ·
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14

Graduate How can I adjust the index in summation notation for the Frobenius method?

  • Somefantastik
  • · Replies 2 ·
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2

Graduate Can someone explain this about gradients to me?

  • theneedtoknow
  • · Replies 2 ·
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2

Undergrad Formal statement of the right-hand rule?

  • LucasGB
  • · Replies 11 ·
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11

Graduate Competition Calculus Problems and Techniques

  • n1person
  • · Replies 1 ·
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1

Undergrad Can a function be continuous on a composed interval?

  • ronaldor9
  • · Replies 3 ·
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3

High School Function of more than one variables

  • R Power
  • · Replies 2 ·
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2

Graduate Line integral with respect to arc length

  • Castilla
  • · Replies 3 ·
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3

Undergrad A concept from calculus that has always bothered me

  • ronaldor9
  • · Replies 6 ·
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6

Graduate Partial derivatives as ratios of cross products

  • daudaudaudau
  • · Replies 8 ·
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8

Graduate Change of variables in multiple integrals. What am I doing wrong?

  • math_maj0r
  • · Replies 4 ·
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4

Undergrad How Do You Solve a Limit Involving Infinity in Polynomial Functions?

  • mohamedibr752
  • · Replies 5 ·
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5

Graduate Green's Thm: How am I not applying it correctly?

  • math_maj0r
  • · Replies 9 ·
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9

Graduate Divergence of Newton's law of gravitation

  • bitrex
  • · Replies 7 ·
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7

Undergrad The two meanings of the integral sign

  • Juwane
  • · Replies 3 ·
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3

Graduate Mapping of multivalued complex function.

  • leoneri
  • · Replies 2 ·
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2

Undergrad Why do we integrate a function to find the area under it?

  • Juwane
  • · Replies 10 ·
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10

Undergrad How can you find the relative extrema of |1+\sqrt[3]{x}|?

  • John O' Meara
  • · Replies 3 ·
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3

Undergrad Using delta epsilon. inequality manipulation

  • yaje
  • · Replies 1 ·
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1

Graduate Fundamental Theorem of Calculus and Line Integrals: Does it Apply?

  • LucasGB
  • · Replies 2 ·
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2

Undergrad Arc Length Confusion: What is the Idea Behind it?

  • Char. Limit
  • · Replies 7 ·
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7

Graduate Integral Evaluation: Jumping from 0 to ∞

  • dionysian
  • · Replies 2 ·
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2

Undergrad Relation of the graph of a function with the graph of it's derivative

  • Juwane
  • · Replies 5 ·
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5

Undergrad What is the general form and convergence of (k+1)r^k?

  • Caspian
  • · Replies 4 ·
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4

Undergrad Trying to understand the dx after the integrand

  • Juwane
  • · Replies 8 ·
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8

Undergrad Integrating Graphs with Two Intervals: How to Find the Mean?

  • Dollydaggerxo
  • · Replies 2 ·
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2

Undergrad No use of the tangent in Riemann sum?

  • Juwane
  • · Replies 5 ·
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5

Undergrad Relative extrema of absolute functions

  • John O' Meara
  • · Replies 4 ·
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4

Graduate Understanding Smooth Extension to Boundary of D in C (or R^2)

  • AxiomOfChoice
  • · Replies 3 ·
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3