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 Find Fourier Transform of S_ε(x) for Laplace's Equation
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Lp Space Examples: Functions in L2 but Not L1
  • · Replies 3 ·
Replies
3
Views
16K
Graduate Proving Simple Pole of $\frac{1}{1-2^{1-z}}$ at $z=1$
  • · Replies 32 ·
2
Replies
32
Views
8K
Graduate Deriving inverse tans from complex product?
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad How to Integrate with Negative Exponents?
  • · Replies 2 ·
Replies
2
Views
10K
Undergrad Challenged in evaluating this limit.
  • · Replies 14 ·
Replies
14
Views
3K
High School Should I Learn Advanced Calculus Now or Wait for Next Year's Class?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Is Lim x->0 tan x / x Correct?
  • · Replies 14 ·
Replies
14
Views
28K
Undergrad How can I integrate 1/(x^2(x^2+a^2)^(1/2)) with respect to x?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad How can I integrate \sin{x^2} using Taylor series?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Integrate 1/(t^2(t-1))dt question
  • · Replies 2 ·
Replies
2
Views
6K
Graduate Understanding Higher Order Poles in Conformal Transformations
  • · Replies 8 ·
Replies
8
Views
3K
Graduate The kurtosis of standard normal pdf
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad Modeling the HEart with Calculus
  • · Replies 10 ·
Replies
10
Views
2K
Graduate Is Every Interval of the Real Line Connected?
  • · Replies 3 ·
Replies
3
Views
5K
Graduate First Central Moment: Proving Intuitive Equality
  • · Replies 8 ·
Replies
8
Views
6K
High School So, how does this prove that the derivative of sinx is cosx?
  • · Replies 7 ·
Replies
7
Views
24K
Undergrad What Are Special Appurtenant Rights?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Is Z/(a) a Euclidean Domain or PID When a is Non-Prime, and What About R[x, y]?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Is there an easier way to do single integrals of the form (sinx)^n (cosx)^m dx?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Divergence Theorem - Confused :s (2 problems)
  • · Replies 4 ·
Replies
4
Views
4K
Graduate Is the Energy Level a Root of the Function in Quantum Operator Theory?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Taylor Series: Equivalence of Two Forms Explained
  • · Replies 9 ·
Replies
9
Views
5K
Undergrad What is the Purpose and Application of Calculus?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Can some functions not be written with elementary functions?
  • · Replies 3 ·
Replies
3
Views
3K
High School What is the meaning of convexity for a function on an interval?
  • · Replies 4 ·
Replies
4
Views
9K
Undergrad Sequences Series geometric series or an arithmetic series?
  • · Replies 14 ·
Replies
14
Views
8K
Graduate Can an Analytic Expression be Found for this Infinite Series with x>1?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Addition theorem for gegenbauer poly
  • · Replies 2 ·
Replies
2
Views
4K
Graduate What is a nonsingular derivative and how does it affect bijectivity?
  • · Replies 2 ·
Replies
2
Views
4K
Undergrad How Do You Start Integrating tan(x)tan(2x)tan(3x)?
  • · Replies 28 ·
Replies
28
Views
13K
Undergrad L'Hopital's Rule - I'm loosing my hair
  • · Replies 13 ·
Replies
13
Views
3K
Undergrad Volume of Sold with a Known Crosssection
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What Inspired the Derivations in Calculus?
  • · Replies 12 ·
Replies
12
Views
3K
Undergrad How do you prove the validity of the ratio test?
  • · Replies 13 ·
Replies
13
Views
5K
Undergrad Monotony of a hyperbolic function.
  • · Replies 11 ·
Replies
11
Views
4K
Undergrad Big Oh notation (Landau symbols)
  • · Replies 5 ·
Replies
5
Views
46K
Undergrad Are Integrals Accurate Representations of Area Beneath Curves?
  • · Replies 11 ·
Replies
11
Views
5K
Undergrad Integrating: 30 Years Later - No Taylor Book
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Online calculus of variations resource
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Where Can I Find Proofs for Limit Superior and Inferior Properties?
  • · Replies 1 ·
Replies
1
Views
7K
Graduate Integrate Small Numbers: General Theory & Results
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Volume of Triangle Rotated Around Its Base: Shells & Cylinders
  • · Replies 2 ·
Replies
2
Views
2K
High School Help with Integrals? - Shin's Story
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Is the Limit of Powers Equal to the Power of Limits?
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Interesting integral property
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Can anyone provide a proof for
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Can the error function be expressed in terms of elementary functions?
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Can Logarithmic Laws Handle Dimensionful Quantities Like Metres?
  • · Replies 20 ·
Replies
20
Views
4K
Graduate How to Prove Distributive Laws for 3D Vector Cross Products?
  • · Replies 12 ·
Replies
12
Views
10K
Undergrad Does the Limit of x^4 * 0.99^x as x Approaches Infinity Equal Zero?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Does the Series \( a_n = \frac{2^n}{\sum_{k=1}^n \frac{1}{k}} \) Converge?
  • · Replies 15 ·
Replies
15
Views
4K
Graduate What is the integral of x(z)/(1+x(z)) wrt z?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Dirichlet's Theorem (Complex Analysis): John B. Conway Explanation
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Trouble using the chain rule product rule and quotient rule
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Solving Summation of sin with n^2 - Svensl
  • · Replies 3 ·
Replies
3
Views
4K
Graduate The notion of independance of equations
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Is This a Proper Power Series for Integration?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Error bounds with approximated M value
  • · Replies 1 ·
Replies
1
Views
7K
Undergrad Solve Integrals: Getting the Approximated Area
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Applications of Integral Calculus to Root Solving
  • · Replies 2 ·
Replies
2
Views
11K
Graduate Trouble with an Integral: Is the Partial Derivative Method Always Reliable?
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Derivating polynomial with complex argument
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Finding closed form for the next series:
  • · Replies 9 ·
Replies
9
Views
6K
Graduate Solving erf(1.00) with Trapezoid Rule (n=6)
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad What is the equation for a perpendicular line to a given curve in a plane?
  • · Replies 2 ·
Replies
2
Views
11K
Graduate Finding Solutions for ln|cos $\frac{\Theta}{2}$| with r=1
  • · Replies 6 ·
Replies
6
Views
5K
Undergrad Writing Co-efficients Elegantly w/ Real Numbers
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Why Are 5x and 2x Considered to Grow at the Same Rate?
  • · Replies 7 ·
Replies
7
Views
5K
Undergrad Can the Integral of 1/sqrt(1-x^2) be Solved without Using Trig Functions?
  • · Replies 12 ·
Replies
12
Views
3K
Undergrad Integration (different substitution = different answer)
  • · Replies 13 ·
Replies
13
Views
6K
Undergrad How Can Simple Functions Help Find Lower Bounds for Integrals?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Does x^n f(x) Converge Uniformly on [0,1] as n Approaches Infinity?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Fourier Analysis: Pointwise vs. L^2 Convergence
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Proving e^x ≥ 1 + x for All x ∈ [0,∞)
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Antiderivative of Cotangent and Arcsine - Explanation Welcome
  • · Replies 7 ·
Replies
7
Views
9K
Undergrad Making a continuous equation out of a summation
  • · Replies 6 ·
Replies
6
Views
5K
Graduate Proving Limit of sin(1/x) Does Not Exist
  • · Replies 7 ·
Replies
7
Views
3K
Graduate Integral of exponential involving sines and cosines
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad Differentiation of exp(xy) wrt x
  • · Replies 11 ·
Replies
11
Views
10K
Undergrad Integrate (e^4x)/x: Step-by-Step Guide
  • · Replies 12 ·
Replies
12
Views
31K
Graduate Existence of Uncountable Zeros in Continuous Functions
  • · Replies 13 ·
Replies
13
Views
5K
Undergrad Help with Limit Test | Solving Limits
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Can Riemann Sums Calculate Area Enclosed by Function?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Integral of 1/(x^1/3 + x^1/4): Can Anyone Help?
  • · Replies 9 ·
Replies
9
Views
8K
Graduate Is the Sum of This Infinite Series Irrational?
  • · Replies 13 ·
Replies
13
Views
4K
Undergrad What is Real's Union Infinity?
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Calculating Area of a Spherical Triangle
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad A change in length ratio question
  • · Replies 2 ·
Replies
2
Views
2K
Graduate How Do You Evaluate the Residues in the Cauchy Integral Formula for G_0(u)?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Understanding Poles and Zeros in Complex Analysis
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Solve Laplace Transform: t^m = m!/s^m+1
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Laplace Transform: Integral of x from 0 to ∞
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Approaching Analysis: The Basics of Rudin's Text
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad What Is Limits and Infinite Series ?
  • · Replies 9 ·
Replies
9
Views
4K
Graduate Complex Polynomials and Minimal Values
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Integral Analysis Using "Cauchy Residue Theorem
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Time derivatives where there's no explicit time dependence
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Where Can I Find a Proof That e is a Transcendental Number?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Range of Function D & R: Find the Answers
  • · Replies 8 ·
Replies
8
Views
5K