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.

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4

Why is the Maclaurin series of $e^u$ simply $\sum\frac{u^n}{n!}$?

  • poissonspot
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Graduate Expanding in powers of 1/z (Laurent series)

  • Harudoz
  • · Replies 2 ·
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Application for Derivative of Inverse Functions?

  • pflo
  • · Replies 1 ·
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U-substitution, definite integral, trig function

  • NecroWinter
  • · Replies 8 ·
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8

Graduate Computing integrals on the half line

  • hunt_mat
  • · Replies 4 ·
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4

Undergrad Substitution Method on indefinite integral

  • Chsoviz0716
  • · Replies 4 ·
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4

Undergrad Mathematica partial differentiation weirdness

  • kahwawashay1
  • · Replies 1 ·
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Graduate Analytic continuation of an integral involving the mittag-leffler function

  • mmzaj
  • · Replies 2 ·
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2

Undergrad Failure rate of a system at time 't'

  • francisg3
  • · Replies 7 ·
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7

Undergrad About the chain rule what's wrong with me?

  • MHD93
  • · Replies 5 ·
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5

Checking a calculus solution

  • Mechano
  • · Replies 4 ·
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4

Graduate Partial Derivatives of Vectors and Gradients

  • The Head
  • · Replies 10 ·
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Graduate Infinite series that converges to pi

  • keeper1
  • · Replies 2 ·
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Graduate What is the mathematically correct way to write this summation?

  • Kalus
  • · Replies 8 ·
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Graduate Closed Curves on the Riemann Sphere

  • Poopsilon
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Graduate Continuous Functions: Does f(x+δ) = ε?

  • Flying_Goat
  • · Replies 3 ·
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Graduate What is the Proof for the Relation Between Legendre Polynomials and Sums?

  • JiriV
  • · Replies 2 ·
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Graduate Integrate mixture of multivariate normal distributions

  • Neddie
  • · Replies 3 ·
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3

Undergrad How Does a Line Integral of a Scalar Field Differ from a Regular Integral?

  • aaaa202
  • · Replies 1 ·
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Can all continuous functions be differentiated?

  • phizics09
  • · Replies 9 ·
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9

Graduate Calculating Angle of Attack and Side Slip Angle for Flight Control Systems

  • mikedamike
  • · Replies 1 ·
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Graduate Equivalence of Completeness Properties

  • 3.1415926535
  • · Replies 5 ·
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5

Series involving gamma functions

  • polygamma
  • · Replies 1 ·
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Graduate Prove that a normed space is not Banach

  • russel
  • · Replies 6 ·
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6

Undergrad Proving the integral of sine from 0 to 2π

  • mjerrar
  • · Replies 4 ·
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4

Undergrad Why is the derivative of a row vector a column vector?

  • Lucid Dreamer
  • · Replies 11 ·
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11

Graduate Why Do We Use |x-2| < 1 and δ = min{1,ε/5} in Epsilon-Delta Proofs?

  • ƒ(x)
  • · Replies 5 ·
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5

Undergrad Explain Euler's Theorem/Identity

  • BloodyFrozen
  • · Replies 47 ·
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47

Undergrad Center of circle from two points and a tangent angle

  • bkx
  • · Replies 1 ·
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Graduate The limit of an almost uniformly Cauchy sequence of measurable functions

  • Fredrik
  • · Replies 4 ·
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4

Undergrad Finding the dimensions of a rectangular box

  • hellomaxwalke
  • · Replies 1 ·
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1

Graduate I must understand connectivity wrong, because my book says this. The

  • aaaa202
  • · Replies 2 ·
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2

Undergrad Complex 3d vector intersection formula

  • Physicist1231
  • · Replies 15 ·
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15

Graduate Convergence in Galilean space-time

  • Wox
  • · Replies 5 ·
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5

Fourier series of sin(x) rectified and Parseval's identity proof

  • Markov2
  • · Replies 3 ·
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3

Undergrad Did I Solve the Integral x^2√(1-x^2) dx Correctly?

  • Fabio010
  • · Replies 3 ·
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3

Yes, $\cos \alpha x$ can be considered a $2\pi-$periodic function.

  • Markov2
  • · Replies 4 ·
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Graduate Proving inf A + inf B ≤ inf(A+B): Is it True?

  • gauss mouse
  • · Replies 2 ·
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Graduate Convergence of the series Ʃ(i^n)/n

  • matt.qmar
  • · Replies 6 ·
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6

Undergrad Finding the area of a circle using infinitesimal triangles

  • Shootertrex
  • · Replies 16 ·
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16

Undergrad Undefined points of a function

  • Square1
  • · Replies 1 ·
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1

Undergrad When to use shells, when to use disks?

  • esploded
  • · Replies 6 ·
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6

Graduate Why does Y being open imply an open ball is contained in it?

  • brydustin
  • · Replies 6 ·
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6

Undergrad Continuous and differentiable function

  • frankpupu
  • · Replies 2 ·
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2

Graduate Triangle integral ∫∫dxdyf(x*y) how to reduce to one dimension?

  • VytautasD
  • · Replies 1 ·
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1

Compute Two Series: Summation Notation

  • Krizalid1
  • · Replies 5 ·
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5

Graduate Uniqueness of Limits of Sequences

  • Fibo's Rabbit
  • · Replies 2 ·
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Graduate Zeta function the the orime counting function

  • mmzaj
  • · Replies 1 ·
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Undergrad How to prove the fundamental theorem of calculus

  • Calculuser
  • · Replies 2 ·
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Graduate Alt. approach to Taylor series of derivative of arcsin(x)?

  • raxAdaam
  • · Replies 2 ·
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Partial derivatives economics question

  • bart11
  • · Replies 2 ·
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Graduate Integral involving power , exp and exp(power)

  • yfatehi
  • · Replies 7 ·
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7

Finding Taylor Series of $\dfrac{1}{z-i} \div \left(z+i\right)$

  • Dustinsfl
  • · Replies 4 ·
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4

Undergrad What is the Physical Interpretation of Infinite Series?

  • matqkks
  • · Replies 11 ·
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11

Undergrad Differentiating with respect to a constant

  • unchained1978
  • · Replies 4 ·
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4

Undergrad When exactly does the tabular method for integration by parts fail?

  • -Dragoon-
  • · Replies 4 ·
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4

Graduate Derivation of least squares containing vectors

  • nobben
  • · Replies 1 ·
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Graduate How can I prove convergence and find the limit of this sequence?

  • oferon
  • · Replies 3 ·
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Undergrad Partial Fraction Decomp with a constant

  • jinksys
  • · Replies 2 ·
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Graduate Contradiction of statement regarding monotonicity

  • oferon
  • · Replies 2 ·
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2

Undergrad Reduction formulas for integral of sin and cos

  • livvy07
  • · Replies 1 ·
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1

How to Simplify an Integral Involving tan x

  • Math1
  • · Replies 3 ·
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3

Graduate Riemann zeta function - one identity

  • Karamata
  • · Replies 1 ·
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1

Evaluate Telescoping Sums:a/b for Integer k>0

  • alexmahone
  • · Replies 3 ·
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3

Yes, the 13's should be 12's. My mistake.

  • Blandongstein
  • · Replies 2 ·
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2

Undergrad How Do You Simplify the Limit of (n+1)^(1/3) - n^(1/3)?

  • oferon
  • · Replies 7 ·
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Undergrad Interpreting Derivatives with Respect to a Constant: Do They Actually Change?

  • dipole
  • · Replies 4 ·
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Graduate @what pt. does y=e^(32x) have max curvature?

  • nobelsmoke
  • · Replies 11 ·
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11

Graduate Inner product-preserving map that isn't unitary?

  • AxiomOfChoice
  • · Replies 2 ·
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2

Graduate How Do I Compute the Derivative of an Integral with a Single Variable Change?

  • carlosmg1982
  • · Replies 2 ·
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2

Graduate Is the Implicit Function Theorem Applicable to F=K?

  • deluks917
  • · Replies 2 ·
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2

Graduate Looking for an analytic mapping theorem

  • Poopsilon
  • · Replies 5 ·
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5

Determining the growth rate of a function

  • DanSlevin
  • · Replies 1 ·
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1

Graduate What is the Dual Nature of Nabla in Vector Differential Operators?

  • abrowaqas
  • · Replies 4 ·
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4

Undergrad Confusion in understanding Taylors theorem.

  • AAQIB IQBAL
  • · Replies 2 ·
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2

Undergrad Partial fractions with cubic and higher degree denominators

  • engphy2
  • · Replies 7 ·
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7

Graduate Understanding L1 vs. Lp Weak Convergence

  • muzialis
  • · Replies 5 ·
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5

Graduate Is integration theory supposed to be this hard?

  • Fredrik
  • · Replies 40 ·
2
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40

Graduate Complex analysis question: can't find similar question on internet

  • runforest
  • · Replies 2 ·
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2

Undergrad Are there better methods for finding the average value of a function?

  • Square1
  • · Replies 3 ·
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3

Undergrad Find dy/dx of x^2 − (y^2) x = (3x − 3)y

  • Moongn
  • · Replies 3 ·
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3

How can I integrate Sinh4(x) using the hyperbolic sine method?

  • fisselt
  • · Replies 11 ·
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11

Graduate Why trigonometric substitution gives negative area for a circle

  • basenne
  • · Replies 1 ·
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1

Graduate Cauchy-Riemann: Is the Relation ∂x/∂y = -∂y/∂x True in General?

  • sahil_time
  • · Replies 2 ·
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2

Graduate Calculate Sum Series: 3^n+1/4^n+2

  • blob84
  • · Replies 2 ·
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2

Can this complex sum with (-u/2)^n be simplified?

  • Dustinsfl
  • · Replies 13 ·
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13

Graduate How to Derive the Quadratic Form of a Vector Function?

  • Lucid Dreamer
  • · Replies 6 ·
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6

Finding Bounds for a Tricky Complex Integral

  • Dustinsfl
  • · Replies 6 ·
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6

Graduate This summation sums to zero. Why?

  • EngWiPy
  • · Replies 3 ·
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3

Graduate Integration of functions mapping into a vector space

  • winterfors
  • · Replies 6 ·
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6

Complex Integration: Solving $\int_0^1\frac{2t+i}{t^2+it^2+1}dt$

  • Dustinsfl
  • · Replies 3 ·
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3

Undergrad Is Derivative Notation Limited to Positive or Negative Values of dx?

  • Calculuser
  • · Replies 14 ·
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14

Graduate Trying to find the quotient of infinite sums

  • demonelite123
  • · Replies 2 ·
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2

Graduate Trying to find integral using laplace method

  • Mathsone
  • · Replies 5 ·
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5

Simplifying Limit Problem - L'Hôpital and Algebra

  • Lepros
  • · Replies 2 ·
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2

Undergrad Why do you Tack on The Negative For this Integral

  • bmed90
  • · Replies 2 ·
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2

Undergrad Can u-substitution be described as a Jacobian?

  • Char. Limit
  • · Replies 7 ·
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7

Graduate Involving Landau's 'big oh' notation

  • Reb
  • · Replies 1 ·
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1