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 Can All Functions Be Explicitly Inverted?
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Why can,t we multiply two distributions?
  • · Replies 5 ·
Replies
5
Views
7K
Undergrad What is the integral of e and how does it relate to acceleration and velocity?
  • · Replies 4 ·
Replies
4
Views
101K
Undergrad How to Solve the Integral of e^x ln(x) dx?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Can Integrals Ever Blow Up and What Does That Mean?
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad What is the practical use of calculus in various fields?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate Is the conjugate of an integral the integral of the conjugate in L2 space?
  • · Replies 2 ·
Replies
2
Views
10K
Graduate How to Solve Vector Calculus Equations Using Lagrange's Formula?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate How Can One Prove a Function Lacks an Elementary Antiderivative?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Max Value of f(x): 3cos(4πx-1.3) + 5cos(2πx+0.5)
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Can You Prove the Unseen? A Challenge in Complex Analysis
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Limit of Integral: x $\rightarrow$ 0, $\int{\sin{t^2}}dt$ 0 to 3
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Proving Infinite Sum of n^2 a^n/n! = a(1+a)e^a
  • · Replies 2 ·
Replies
2
Views
2K
Graduate If h is L-integrable and f + g = h, then f and g also are
  • · Replies 12 ·
Replies
12
Views
4K
Graduate Evaluating multi-dimensional integrals
  • · Replies 13 ·
Replies
13
Views
4K
Undergrad Understanding the Derivative of a Dot Product: A Question on the Product Rule
  • · Replies 4 ·
Replies
4
Views
17K
Undergrad Probability problem - Test Cheaters
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Analysis Problem: Find Solution in 1 Week
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Can the Integration of x^x be Solved Conventionally?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Size of the division of a segment in infinite intervals
  • · Replies 19 ·
Replies
19
Views
3K
Graduate How can we translate a lemma from Riemann integration to Lebesgue integration?
  • · Replies 7 ·
Replies
7
Views
5K
Graduate Can Two Distinct Functions Share Magnitude and Fourier Magnitude?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad The limit of sqrt(x) as x goes to 0
  • · Replies 8 ·
Replies
8
Views
30K
Graduate Equal Integration on Real and Rotated Axes: Why the Difference at +pi/4?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Defining and Evaluating the Limit of e: A Closer Look
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad Calculus and pattern recognition
  • · Replies 19 ·
Replies
19
Views
7K
Undergrad What are the Applications of Complex Analysis in Calculus?
  • · Replies 6 ·
Replies
6
Views
7K
Undergrad How Do You Find the Double Derivative of This Function?
  • · Replies 8 ·
Replies
8
Views
9K
Graduate How to Calculate the Index of a Line in a Complex Integral?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Real roots of Fourier transform
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Any non-elementary gamma fcn formulas?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate What Is the Normal Vector in Stoke's and Gauss' Theorems?
  • · Replies 11 ·
Replies
11
Views
14K
Undergrad Chasing Person B: Describing the Curve Mathematically
  • · Replies 6 ·
Replies
6
Views
4K
Undergrad How Do I Tackle Basic Integration in Economics After a Long Break?
  • · Replies 7 ·
Replies
7
Views
5K
High School Infinity x Zero: James' Math Problem
  • · Replies 7 ·
Replies
7
Views
6K
Undergrad Help With Expansion of f(x) Function!
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Can the Dirac Distribution be Proven Using Integrals?
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad What Does the Big F Represent in Equations?
  • · Replies 10 ·
Replies
10
Views
42K
Undergrad How Do You Determine Which Values to Use in Linear Approximation?
  • · Replies 2 ·
Replies
2
Views
9K
Graduate Why Are Open Sets Preferred in Defining Domains in Topology?
  • · Replies 6 ·
Replies
6
Views
6K
Undergrad Show Region of Integration for Multiple Integrals
  • · Replies 4 ·
Replies
4
Views
2K
Graduate How Do You Verify a Linear Fractional Transformation in Complex Analysis?
  • · Replies 6 ·
Replies
6
Views
4K
Undergrad Calculating Mass of Oil in Cylindrical Core
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad That is the integral that I would use to find the volume of the solid.
  • · Replies 2 ·
Replies
2
Views
8K
Graduate Integral Problem: Solve Complex Integral on Exam
  • · Replies 16 ·
Replies
16
Views
4K
Undergrad Understanding Euler's Formula: The Geometric Connection to e
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad How do I find the center of mass using polar coordinates?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad How Do I Calculate Arc Length for f(x)=x^3?
  • · Replies 3 ·
Replies
3
Views
2K
High School How Should You Approach Solving Basic Trigonometric Limits?
  • · Replies 11 ·
Replies
11
Views
3K
Graduate How is the Formula for Torsion Derived?
  • · Replies 1 ·
Replies
1
Views
6K
Graduate Sum of Series with Trigonometric Terms: Seeking Method to Find Exact Value
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How Do You Solve Integration Problems Using Partial Fractions?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Is the Set {z^2: z = x+iy, x>0, y>0} Open or Closed?
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Deriving Magnetic Field from Biot-Savart Integral for Long Straight Conductor
  • · Replies 6 ·
Replies
6
Views
3K
Graduate From decreasing sequences to decreasing functions
  • · Replies 8 ·
Replies
8
Views
6K
Undergrad Sphere in a cone (ball in a wine glass)
  • · Replies 2 ·
Replies
2
Views
6K
Graduate Calculus of variations basic question
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Applying SC. Lemma: Conditions & Practical Uses
  • · Replies 4 ·
Replies
4
Views
3K
Graduate What are the applications of the Riemann Mapping Theorem?
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad What is a good intro to complex variables book for an undergrad?
  • · Replies 19 ·
Replies
19
Views
4K
High School Collegeboard and the AP Calculus exam is done
  • · Replies 32 ·
2
Replies
32
Views
9K
Graduate A lemma about upper derivatives (upper, non right)
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Epsilon and delta definition of limit
  • · Replies 4 ·
Replies
4
Views
6K
High School What is the first derivative of sec^2x?
  • · Replies 2 ·
Replies
2
Views
87K
Graduate Does this Integral have an Elementary Solution
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How Much Analysis is Needed to Study Elliptic Curves in Digital Signatures?
  • · Replies 11 ·
Replies
11
Views
5K
High School Finding Resources for Calculus: Examples & Explanations
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Interesting problem about latitude
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Generalized change of variables?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate What is Euler's Series Transformation and its applications?
  • · Replies 2 ·
Replies
2
Views
6K
Graduate Linear Functional Operations in Vector Spaces and Fields
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Asymptotic Equality: Can I Conclude a-c~b-d?
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Complex analysis - area inside a simple closed curve
  • · Replies 1 ·
Replies
1
Views
6K
Graduate Complex analysis - argument principle
  • · Replies 7 ·
Replies
7
Views
6K
Graduate Complex analysis - maximum/modulus principle
  • · Replies 5 ·
Replies
5
Views
7K
Graduate Complex analysis - conformal maps -mapping
  • · Replies 7 ·
Replies
7
Views
5K
Graduate Division of Characteristic Functions
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Discrete Derivatives: Types & Uses
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Most general multiplicative sequence is ?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad How can we find the volume of an ellipsoid using an integral?
  • · Replies 5 ·
Replies
5
Views
20K
Graduate Understanding the Union of Countable Sets in Real Functions
  • · Replies 13 ·
Replies
13
Views
5K
Graduate Uniformly continuous and bounded
  • · Replies 1 ·
Replies
1
Views
11K
Undergrad How can I prove the continuity of sin(x) using common properties?
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad Upper and lower derivatives information
  • · Replies 11 ·
Replies
11
Views
8K
Graduate Partial Derivative of a Parametric Equation
  • · Replies 1 ·
Replies
1
Views
8K
Graduate Understanding Theorems: Open Mapping & Closed Range
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Are we considering point a line segment?
  • · Replies 16 ·
Replies
16
Views
3K
Graduate Can Calculus be Formulated with Infinitesimals Without Introducing New Numbers?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Heine-Borel Theorem: Bounded & Closed Set Covered by Finite Open Subsets
  • · Replies 42 ·
2
Replies
42
Views
10K
Graduate Superellipse and a good coordinate system
  • · Replies 8 ·
Replies
8
Views
5K
Undergrad Integrals of surface area/volume
  • · Replies 3 ·
Replies
3
Views
10K
Undergrad Help Needed: Linear Interpolation & Numerical Integration Basics
  • · Replies 6 ·
Replies
6
Views
2K
Graduate What is the connection between fractals and Brownian motion?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate An Analytical Approach to Evaluating an Integral
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Can I use integration by parts recursively on this?
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Is This Integral More Challenging Than It Appears?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Cauchy,s theorem on real plane?(R^2)
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Why the fifth order polynomial roots can,t be obtained exactly?
  • · Replies 10 ·
Replies
10
Views
9K
Graduate What Are the Residues and Poles of a Function?
  • · Replies 1 ·
Replies
1
Views
4K
Graduate Determination of logarithm (complex)
  • · Replies 4 ·
Replies
4
Views
3K