Calculus Forum

Post thread
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.
Undergrad Limits of Arguments of Functions
  • · Replies 16 ·
Replies
16
Views
4K
Graduate .999 does not equal 1 because
  • · Replies 45 ·
2
Replies
45
Views
11K
Undergrad Find the limit of trigonometric function
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Proofs for Complex Inequalities to Bound a Complex Integral
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What is the Line Integral of a Semicircle with a 45 Degree Angle?
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad Vertical Sections and Level Curves
  • · Replies 1 ·
Replies
1
Views
3K
Graduate What is the Stepwise Solution for Solving a Contour Integration Problem?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Question about the intervals (b,b) and [b,b]
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Rewriting the nth Term of a Geometric Series with Algebra
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Why Is There a Contradiction in the Proof of the Derivative of lnx?
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Converse Statement of Uniform Continuity
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Transformation of lebesgue integral
  • · Replies 4 ·
Replies
4
Views
3K
High School What Does 1 Divided by Infinity Equal?
  • · Replies 23 ·
Replies
23
Views
89K
Graduate Energy of dipole orientation
  • · Replies 8 ·
Replies
8
Views
9K
Undergrad Sketching Solids: Overcome Inequalities & Cosecant
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Finding the volume of a 3-dimensional spherical intersection
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How Do You Calculate Surface Integrals in Higher Dimensions?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate General solution formula of a differential equation
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Where Did I Go Wrong in Expressing the Polar Rose as an Implicit Function?
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Sufficient Condition for Existence of Vector Potential
  • · Replies 4 ·
Replies
4
Views
2K
Graduate How to prove Taylor's expansion for multivariable function ?
  • · Replies 2 ·
Replies
2
Views
5K
Graduate How to show a set has measure zero?
  • · Replies 6 ·
Replies
6
Views
7K
Graduate Bringing a derivative inside an integral?
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Understanding Chain Rule: Derivatives and the Quotient Rule Explained
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Ellipsoids and Surfaces of Revolution
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Why Is Spivak's Calculus Textbook So Highly Regarded?
  • · Replies 5 ·
Replies
5
Views
5K
Undergrad Prove existance of open interval
  • · Replies 6 ·
Replies
6
Views
4K
Undergrad Help me figure the surface area of a partial cone please
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Help Needed - Region of Convergence for Laurent Series of f(z)
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Do Orthogonal Polynomials have always real zeros ?
  • · Replies 5 ·
Replies
5
Views
3K
High School Solving for x with a Square Root Sign: Help Needed!
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How Do You Solve for x in Terms of y for Quadratic and Higher Order Polynomials?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Link between Pascal's triangle and integrals of trigonometric functions
  • · Replies 5 ·
Replies
5
Views
6K
Graduate If n=complex number what values of n in i^n real?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Explanation of the breaking up of a derivative
  • · Replies 9 ·
Replies
9
Views
2K
Graduate Prove Complex Inequality: Re z < 0
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Is This Newly Proposed Formula for Zeta Function Zeros Known?
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad What shape has the largest area for a fixed perimeter?
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Fourier analysis of a Lorentzian/Cauchy/Breit–Wigner distribution
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Solving Difficult Integral: x/(x-a)^0.5 from 10^-3 to 10^-2
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Does Every Open Set Contain a Compact Set?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Integral of this exponential function: does it have a solution?
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Integrating exp(x^2) like gaussian integral?
  • · Replies 8 ·
Replies
8
Views
10K
Graduate Sequence Proof (Am I missing something here?)
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Finding a volume by triple integration
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Area of a hyperbolic paraboloid contained within a cylinder
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad What is the sum of the infinite series 1/[n(n+1)(n+2)]?
  • · Replies 14 ·
Replies
14
Views
21K
Undergrad Matrix condition number question
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad How to Average Hysteresis Curves and Calculate Area in Matlab?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Does every continuous function has a power series expansion on a closed interval
  • · Replies 10 ·
Replies
10
Views
11K
Graduate Function can be represented by a Taylor series
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad 2 functions f and g that dont have limits at a number c but fg and f+g do
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad Related Rate Problem Including a Cone
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Lim x^2-4y^2/(x+2y) as (x,y)->(-2,1): -4 or DNE?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Smooth and L^2 on R^n. Will it be bounded?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Question regarding Curl and Cross Product
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Problem with int(arctan(B-x/tan(a))/(d-x)) dx
  • · Replies 8 ·
Replies
8
Views
3K
Graduate What is the value of an irrational infinite sum with a unique pattern?
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Trouble understanding a derivative used in Hermite curve reparameterization
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Is it possible to integrate e^-mod(x^n) for n>2?
  • · Replies 10 ·
Replies
10
Views
7K
Undergrad Integrating a quadratic funtion raised to m/n
  • · Replies 8 ·
Replies
8
Views
2K
Graduate How Do I Correctly Fit a Gaussian to My Absorption Spectra Data?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate How Do You Solve This Complex Indefinite Integral?
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Integral evaluated at +/- infinity
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Finding the Area of a Hyperbolic Paraboloid
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Do I integrate it using Trigonometry substitution?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What Are the Key Applications of the Hessian Matrix in Multivariable Calculus?
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad Can You Compute Fresnel Integrals?
  • · Replies 14 ·
Replies
14
Views
5K
Undergrad Suggest some optimization problems for me, please.
  • · Replies 3 ·
Replies
3
Views
7K
Graduate Confusion with Delta Dirac Function's First Property: Why Does Infinity Equal 1?
  • · Replies 14 ·
Replies
14
Views
3K
Undergrad Material Needed for Power Series
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Does the Variable of Differentiation Matter in Calculating Derivatives?
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Fresnel Integrals: Questions Answered
  • · Replies 2 ·
Replies
2
Views
8K
Undergrad How to Find S as a Function of t in Differential Equations?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Zeros of functions on the complex plane
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Function f(x) such that it's continuous
  • · Replies 31 ·
2
Replies
31
Views
5K
Undergrad Which single-valued differentiable function between 0 and 1 satisfies
  • · Replies 15 ·
Replies
15
Views
4K
Graduate Understanding Compact Sets and Their Role in Continuity
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Need advice on how to study trigonometry
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Can complex analysis be used to evaluate real definite integrals?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Integral of Exp(I x) and the Dirac Delta
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad Is Implicit Differentiation Valid in Cases Where z is Not a Function of x?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Understanding One-to-One Mapping
  • · Replies 6 ·
Replies
6
Views
5K
Graduate Complex analysis- poles vs. Zeros, etc.
  • · Replies 5 ·
Replies
5
Views
8K
Graduate On Analytic Continuations of complex-valued functions
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Help Forces and Friction and Movement O my
  • · Replies 5 ·
Replies
5
Views
4K
Graduate How Many Non-Measurable Sets Exist?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Deriving the Bernoulli EquationFluids
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad Second Order DE - Need Help With Equation
  • · Replies 7 ·
Replies
7
Views
2K
High School What is the co-domain of a function
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Is the expression \(\lim_{x \to 1.5} \sin x = 0.997494986\) with large δ valid?
  • · Replies 8 ·
Replies
8
Views
7K
Undergrad I want to understand how to use the general equation [f(x) - f(x+h)]/h
  • · Replies 6 ·
Replies
6
Views
17K
Graduate I am doing a project analysis and need some help with errors
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Proving the Second Derivative Using Limit Definition
  • · Replies 12 ·
Replies
12
Views
15K
Graduate What Is the Deeper Interpretation of a Complex Residue?
  • · Replies 2 ·
Replies
2
Views
4K
High School Derivative of the Volume of a Cone
  • · Replies 10 ·
Replies
10
Views
146K
Graduate What does test mean in distribution theory
  • · Replies 6 ·
Replies
6
Views
2K
High School What are some helpful resources for learning basic calculus?
  • · Replies 1 ·
Replies
1
Views
52K
Graduate Is the Laplace Equation a Visualization of Zero Potential Gradient?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Fekete's Lemma: Proof & Understanding
  • · Replies 1 ·
Replies
1
Views
5K