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.
Graduate Indefinitte Integral of Vector Valued Function
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Question regarding iteration and operations
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Is f(x) Holomorphic if f(x)^2 and f(x)^3 Are?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Multivariate Calculus Text Recommendation
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Solving Double Sum with _2F_1 Hypergeometric Function
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Laplace Operator: Vector Dot Product & 2nd Derivative
  • · Replies 8 ·
Replies
8
Views
7K
MHB Solve Vertical Tangent: y-e^(xy) + x = 0
  • · Replies 5 ·
Replies
5
Views
3K
High School What is the product rule for finding a derivative in calculus?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Distance between two parallel planes
  • · Replies 3 ·
Replies
3
Views
8K
Undergrad How Can We Approximate Integrals Using Summations?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Why Does the Integral of a Step Function Remain Unchanged by Endpoint Values?
  • · Replies 7 ·
Replies
7
Views
6K
Graduate Vectors differentiation formulas for Dot and Box Product how?
  • · Replies 5 ·
Replies
5
Views
8K
Undergrad Division By Infinity: Is It Defined?
  • · Replies 15 ·
Replies
15
Views
13K
Graduate Proof: Norms converge imply Coordinates converge
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Can Sinc Functions Serve as Nascent Delta Functions for Non-Smooth Integrands?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Challenging Integral: Solving for P(cos(x)^3)/(x^6+1)
  • · Replies 12 ·
Replies
12
Views
3K
Graduate Need keep in solove a system of differential equation
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding a value that will make a function continuous
  • · Replies 3 ·
Replies
3
Views
3K
Graduate I think this is a dominated convergence theorem question
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Velocity on the surface of a sphere
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Integral involving normal pdf and cdf
  • · Replies 6 ·
Replies
6
Views
7K
Undergrad Help Understanding this simple proof? [lim x->3 x^2 = 9]
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Singularities classification in DE's
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Recursive integral using integration by pars
  • · Replies 3 ·
Replies
3
Views
2K
MHB How to Solve an Integral Problem Involving a Continuous Function?
  • · Replies 3 ·
Replies
3
Views
3K
High School Hi there,To find the gradient of a curve, we draw a chord on the
  • · Replies 14 ·
Replies
14
Views
4K
MHB Can you prove this result for any $m,n\in\mathbb{Z}^+$?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Question About Del: Why Does Formula Fail?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Is z^2 a Constant When Differentiating cos(yz^2) with Respect to y?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate (Deceptively?) Simple question about Taylor series expansions
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Lim x -> 0: Solve f(x) = (-1+e^x) / x
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Understanding Riemann Zeta functions for s=1/3
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Use Green's Theorem to evaluate the line integral
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Contour integral with absolute value
  • · Replies 2 ·
Replies
2
Views
3K
MHB Can You Solve This Complex Trigonometric Integral?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad How Do You Graph 3D Functions in Mathematica 8?
  • · Replies 12 ·
Replies
12
Views
4K
MHB Can You Solve These Challenging Definite Integral Problems?
  • · Replies 4 ·
Replies
4
Views
6K
Undergrad Epsilon-delta in problem solving
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Integrability & Differentiability of a Function: Implications for Derivatives
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Derivative of function = square of the function?
  • · Replies 6 ·
Replies
6
Views
11K
Undergrad How can I plot a 3D vertical plane in Mathematica?
  • · Replies 2 ·
Replies
2
Views
5K
Graduate Why Must Convex Functions Have Convex Domains?
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Sobolev type norms and basis functions
  • · Replies 1 ·
Replies
1
Views
2K
MHB How Can We Prove This Positive Real Number Inequality?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Solving Complex Integral: Cos(x^2) + Sin(x^2)
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Why do radians *work* in calculus and higher maths?
  • · Replies 6 ·
Replies
6
Views
7K
Graduate How do we show that 2.2.19 and 2.3.21 are equal in this textbook?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Why is the unit square a 2-manifold?
  • · Replies 30 ·
2
Replies
30
Views
11K
Graduate Understanding Sup of Function fi(x) i E I
  • · Replies 11 ·
Replies
11
Views
7K
High School I confronted something in math which is way too confusing to me
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Limit of the greatest integer number
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How to show integral identity involving gaussian over x
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Confusion over line integrals, Green's Theoreom, Conservative fields
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What is the average for cos2(x)?
  • · Replies 2 ·
Replies
2
Views
40K
Graduate Generating the Borel (sigma-)Algebra
  • · Replies 4 ·
Replies
4
Views
5K
Graduate Diverging Integral: 4 Powers of q in Numerator, 2 in Denominator
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Can You Find Inflection Points by Equating the Top Line of a Derivative to Zero?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate A simple computation using Leibniz's Rule
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Converting infinite series into an integral - intuition
  • · Replies 5 ·
Replies
5
Views
28K
Graduate Repeated applications of sinusoidal functions
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Simplifying Integration by Parts: Solving ∫ln(x+x^2)dx Using the Hint x(1+x)
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Question about Proof of Inverse Function
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad What is the integral of cos^3(x)tan^4(x)?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate How to integrate -exp((s^2 - t^2)/2)*(f'(t) - t*f(t)) dt
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Variation Question: f Min then \delta f, \delta^2 f?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Some Questions about Papa Rudin (RCA) Chapter 1
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Differentiable Automorphisms of ℂ
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How Does WolframAlpha Calculate the Sum of (2n+1)/(n(n+1)(n+2))?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Rigorous definition of derivative
  • · Replies 23 ·
Replies
23
Views
7K
Graduate Multiple integral notation (or abuse of?)
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad It seems strange?+x+x .(x times)=x^2 then x=2x(differentiate wrt x)?
  • · Replies 2 ·
Replies
2
Views
4K
Graduate Does the vector triple-product identity hold for operators?
  • · Replies 4 ·
Replies
4
Views
7K
Undergrad Is this a valid way to simplify complex fractions?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate What is the limit of x^lnx as x approaches 0+?
  • · Replies 7 ·
Replies
7
Views
21K
Undergrad Tangents, velocities and other rates of change
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad The differences between autocorrelation and convolution
  • · Replies 4 ·
Replies
4
Views
9K
Graduate That is also equal to 0. Can you explain why?
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad The precise definition of limits
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Question about directional derivatives and tangent planes ?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Calculus 3 introduction to cross product
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Function in terms of its partial derivatives
  • · Replies 6 ·
Replies
6
Views
6K
Graduate Double integral over triangle with known nodes
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Difficult Definite Integral Question
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Partial integration of the function f = 1
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Extending Bounded metric spaces to compact spaces
  • · Replies 2 ·
Replies
2
Views
3K
Graduate I think there is some thing wrong
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Partial Derivative f(x,y')=1: Why & True?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Geometric Meaning of a Vector Integral
  • · Replies 6 ·
Replies
6
Views
9K
Undergrad Easy delta/epsilon proof of a multivariable limit
  • · Replies 4 ·
Replies
4
Views
17K
Undergrad A very basic question about continuous function
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad How to visualize a line integral
  • · Replies 3 ·
Replies
3
Views
6K
Graduate Fourier Transform of Bessel Function of the 1st Kind
  • · Replies 2 ·
Replies
2
Views
6K
Undergrad Can Summing Infinite Series to -1 Be Valid?
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Does the Taylor series expansion for e^x converge quickly?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Compactness and every infinite subset has a limit point
  • · Replies 8 ·
Replies
8
Views
8K
Graduate Prove of the complicated integral
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How Do Polar Coordinates Reveal the Shape of Curves in Spivak's Calculus?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Solving Integrals by Series Expansions
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad When can one Change order of derivatives?
  • · Replies 2 ·
Replies
2
Views
9K
Graduate Strange proof of Young's inequality
  • · Replies 1 ·
Replies
1
Views
3K