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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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How to make those special symbols

Nov 17, 2004 · Replies 7 · Nov 18, 2004

Replies: 7

Views: 2K

Undergrad Solving a Limit with Multiple Fractions

Nov 16, 2004 · Replies 5 · Nov 17, 2004

Replies: 5

Views: 12K

Graduate Function continuous at irrationas and integers

Nov 16, 2004 · Replies 5 · Nov 17, 2004

Replies: 5

Views: 3K

Undergrad Why is du/dx treated as a fraction in integration by substitution?

Nov 16, 2004 · Replies 2 · Nov 17, 2004

Replies: 2

Views: 2K

Undergrad Finding Critical Point of f(x) with f(0) = 0

Nov 13, 2004 · Replies 7 · Nov 17, 2004

Replies: 7

Views: 3K

Undergrad Help With Heat Flow Questions: Find Temperature Equilibrium & Flow Lines

Nov 15, 2004 · Replies 10 · Nov 17, 2004

Replies: 10

Views: 4K

Undergrad Solving Partial Fractions Integral: x^2+5x+2 / x^4+x^2+1

Nov 16, 2004 · Replies 2 · Nov 16, 2004

Replies: 2

Views: 2K

Graduate How to Evaluate the Integral of x^2 * e^(-2*a*x^2) from 0 to Infinity?

Nov 16, 2004 · Replies 2 · Nov 16, 2004

Replies: 2

Views: 5K

Graduate Are My Definitions of Continuity and Uniform Continuity Correct?

Nov 15, 2004 · Replies 6 · Nov 16, 2004

Replies: 6

Views: 13K

Undergrad Find 1st 4 Non-Zero Terms Maclaurin Series

Nov 15, 2004 · Replies 3 · Nov 16, 2004

Replies: 3

Views: 3K

Undergrad How Fast Does the Water Level Rise in a Triangular Trough?

Nov 12, 2004 · Replies 3 · Nov 16, 2004

Replies: 3

Views: 3K

Proof Help Needed: No Replies on Forum Thread - See My Work | Physics Forums

Nov 8, 2004 · Replies 2 · Nov 16, 2004

Replies: 2

Views: 2K

Undergrad Understand why the harmonic series diverges

Nov 16, 2004 · Replies 2 · Nov 16, 2004

Replies: 2

Views: 3K

Undergrad How to find limits of sequences involving products and sums?

Nov 14, 2004 · Replies 3 · Nov 16, 2004

Replies: 3

Views: 3K

Undergrad Need Help Proving Limit of Sequence Problem

Nov 14, 2004 · Replies 7 · Nov 15, 2004

Replies: 7

Views: 3K

Graduate Help on infinitesimal calculation

Nov 15, 2004 · Replies 6 · Nov 15, 2004

Replies: 6

Views: 3K

Graduate Evaluating Integral: Step-by-Step Guide

Nov 13, 2004 · Replies 2 · Nov 15, 2004

Replies: 2

Views: 2K

Undergrad Can Two Discontinuous Functions Become Continuous When Added Together?

Nov 14, 2004 · Replies 2 · Nov 15, 2004

Replies: 2

Views: 4K

Undergrad Do Fourier Series Remain Unique When Functions Are Shifted?

Nov 7, 2004 · Replies 2 · Nov 15, 2004

Replies: 2

Views: 7K

Graduate Solving an Arbitrage Problem in Forward Contract Pricing

Nov 6, 2004 · Replies 2 · Nov 14, 2004

Replies: 2

Views: 3K

Undergrad Plotting z^2-xy+1=0 with Mathematica - Interval around Origin

Nov 7, 2004 · Replies 2 · Nov 14, 2004

Replies: 2

Views: 2K

Undergrad Simplifying the Limit for the Derivative of e^(x-2)

Nov 13, 2004 · Replies 8 · Nov 14, 2004

Replies: 8

Views: 11K

Undergrad Troubleshooting Newton's Method for f(x) and g(x)

Nov 12, 2004 · Replies 5 · Nov 13, 2004

Replies: 5

Views: 2K

Undergrad Graphical link between function and derivate

Nov 13, 2004 · Replies 4 · Nov 13, 2004

Replies: 4

Views: 2K

Undergrad How Does the Base of a Triangle Change as Its Altitude and Area Increase?

Nov 5, 2004 · Replies 2 · Nov 13, 2004

Replies: 2

Views: 5K

Undergrad Navigating Micheal Spivak's Calculus Textbook: It's OK to Feel Overwhelmed!

Nov 12, 2004 · Replies 4 · Nov 13, 2004

Replies: 4

Views: 2K

Graduate Solving Limit of \frac{(n+4)^{100} - (n+3)^{100}}{(n+2)^{100} - n^{100}}

Nov 13, 2004 · Replies 4 · Nov 13, 2004

Replies: 4

Views: 2K

Graduate Is the Tangent Function Surjective on Its Defined Interval?

Nov 12, 2004 · Replies 3 · Nov 12, 2004

Replies: 3

Views: 13K

High School Find sin(ax): Standard Procedure for Sin, Cos & Tan

Nov 10, 2004 · Replies 5 · Nov 12, 2004

Replies: 5

Views: 36K

Graduate Solving a Logarithmic Integral: Is it Right?

Nov 4, 2004 · Replies 2 · Nov 11, 2004

Replies: 2

Views: 2K

Undergrad Understanding Limits: A Method for Evaluating Complex Limits Without Operations

Nov 10, 2004 · Replies 4 · Nov 11, 2004

Replies: 4

Views: 4K

Graduate Singularities in Conservative Vector Fields: Understanding the Integral Around C

Nov 10, 2004 · Replies 3 · Nov 11, 2004

Replies: 3

Views: 3K

Graduate Get Expert Help with Laurent Series for Convergence of e^z/(z-z^2)"

Nov 9, 2004 · Replies 7 · Nov 11, 2004

Replies: 7

Views: 7K

Graduate Solve Crazy Lagrange Problem: Min Distance from Origin

Nov 4, 2004 · Replies 2 · Nov 11, 2004

Replies: 2

Views: 2K

Graduate How to Find Geodesics on a Curved Surface Using Calculus of Variations

Nov 10, 2004 · Replies 3 · Nov 11, 2004

Replies: 3

Views: 10K

Undergrad Application of Calculus to Finanace

Oct 25, 2004 · Replies 2 · Nov 11, 2004

Replies: 2

Views: 10K

Undergrad Can someone explain this?(Taylor polynomials)

Nov 10, 2004 · Replies 3 · Nov 11, 2004

Replies: 3

Views: 2K

Undergrad What is the largest radius for 8 styrofoam spheres in a box?

Nov 10, 2004 · Replies 13 · Nov 10, 2004

Replies: 13

Views: 4K

Undergrad Triple Integral Help: Solving Equations and Finding Volume with Closed Curve C

Nov 3, 2004 · Replies 2 · Nov 10, 2004

Replies: 2

Views: 2K

Graduate How Do You Calculate the Work Required to Empty a Water-Filled Trough?

Nov 2, 2004 · Replies 2 · Nov 10, 2004

Replies: 2

Views: 3K

Graduate Proving the Existence of Fixed Points in Monotone Increasing Functions

Nov 5, 2004 · Replies 3 · Nov 9, 2004

Replies: 3

Views: 4K

Graduate Which Integration Technique Should I Use for This Triple Integral?

Nov 9, 2004 · Replies 3 · Nov 9, 2004

Replies: 3

Views: 2K

Undergrad How to Solve the Infamous x*sec(x) Integration Problem?

Nov 6, 2004 · Replies 12 · Nov 9, 2004

Replies: 12

Views: 32K

Undergrad Find Distance Between Spherical Polar & Cartesian Points

Nov 6, 2004 · Replies 11 · Nov 9, 2004

Replies: 11

Views: 3K

Undergrad What values of x make this series converge?

Nov 8, 2004 · Replies 8 · Nov 9, 2004

Replies: 8

Views: 4K

Undergrad Does Convergence of a Series Imply that the Limit of n Times the Term is Zero?

Nov 8, 2004 · Replies 6 · Nov 9, 2004

Replies: 6

Views: 8K

Undergrad Is the Validity of the Proof in Question?

Nov 8, 2004 · Replies 2 · Nov 9, 2004

Replies: 2

Views: 3K

Undergrad How do I prove the existence of a limit using the definition of limit?

Nov 8, 2004 · Replies 4 · Nov 9, 2004

Replies: 4

Views: 3K

Undergrad Optimization Problems (So confusing) Please me on this once. Thanks in a million

Nov 8, 2004 · Replies 2 · Nov 8, 2004

Replies: 2

Views: 3K

Undergrad Proving Continuity with Epsilon-Delta: How to Approach a Challenging Function?

Nov 6, 2004 · Replies 3 · Nov 8, 2004

Replies: 3

Views: 6K

Undergrad Continuity of a Function of Two Variables

Nov 8, 2004 · Replies 2 · Nov 8, 2004

Replies: 2

Views: 9K

Graduate Find parametric equations for the tangent line to the curve at t=1

Oct 20, 2004 · Replies 5 · Nov 8, 2004

Replies: 5

Views: 4K

High School Series, Sequences and Progressions

Nov 7, 2004 · Replies 3 · Nov 8, 2004

Replies: 3

Views: 3K

Graduate Calc Proof(s): Uniform Continuity

Nov 8, 2004 · Replies 2 · Nov 8, 2004

Replies: 2

Views: 7K

Undergrad Combining product rule with chain rule

Nov 7, 2004 · Replies 2 · Nov 7, 2004

Replies: 2

Views: 11K

Undergrad How Do You Prove the Limit of √x as x Approaches 49?

Nov 2, 2004 · Replies 10 · Nov 6, 2004

Replies: 10

Views: 4K

Graduate Does the Integral of Cos(x)/x² from Negative to Positive Infinity Converge?

Oct 30, 2004 · Replies 2 · Nov 6, 2004

Replies: 2

Views: 7K

Undergrad A tricky integration problem. Save me

Nov 4, 2004 · Replies 2 · Nov 6, 2004

Replies: 2

Views: 3K

Graduate Doubts in Differential equations

Nov 6, 2004 · Replies 5 · Nov 6, 2004

Replies: 5

Views: 2K

Undergrad Cannot decipher and solve limits help

Nov 5, 2004 · Replies 2 · Nov 6, 2004

Replies: 2

Views: 3K

Undergrad Proof of Equality: Summation & 2^n

Nov 5, 2004 · Replies 11 · Nov 6, 2004

Replies: 11

Views: 2K

Undergrad Understanding Limit of a Sequence - Kamataat

Nov 4, 2004 · Replies 28 · Nov 5, 2004

Replies: 28

Views: 4K

Undergrad Need Help On Initial Value Problems

Nov 4, 2004 · Replies 5 · Nov 5, 2004

Replies: 5

Views: 2K

Undergrad Max and Min Problems: Solving with Calculus | Need Help & Explanation

Nov 4, 2004 · Replies 8 · Nov 5, 2004

Replies: 8

Views: 4K

Graduate Fourier Representation of Simple Half-Wave Rectifier

Nov 4, 2004 · Replies 1 · Nov 5, 2004

Replies: 1

Views: 23K

Undergrad Second rule of comparison in math series

Nov 4, 2004 · Replies 2 · Nov 5, 2004

Replies: 2

Views: 2K

Undergrad Actual integration of a function

Nov 4, 2004 · Replies 5 · Nov 5, 2004

Replies: 5

Views: 2K

Undergrad Optimazation math homework

Oct 28, 2004 · Replies 2 · Nov 4, 2004

Replies: 2

Views: 2K

Undergrad Does f(x) = c Imply That f'(x) = 0?

Nov 2, 2004 · Replies 17 · Nov 4, 2004

Replies: 17

Views: 6K

Undergrad Understanding Integrals: Multiplying by a Constant Within the Integral?

Nov 2, 2004 · Replies 5 · Nov 4, 2004

Replies: 5

Views: 2K

Undergrad Why Does My Calculated Tangent Line Not Touch the Curve at the Given Point?

Nov 3, 2004 · Replies 6 · Nov 4, 2004

Replies: 6

Views: 2K

Undergrad To prove this equation can exist or not hmm

Nov 2, 2004 · Replies 3 · Nov 3, 2004

Replies: 3

Views: 3K

Undergrad Understanding the Limit of Sin7x/4x as x Approaches 0

Nov 3, 2004 · Replies 2 · Nov 3, 2004

Replies: 2

Views: 3K

Undergrad Solving Problem on AP Calc Test: Was My Answer Wrong?

Nov 3, 2004 · Replies 4 · Nov 3, 2004

Replies: 4

Views: 4K

Undergrad What Happens If Your First Guess Using Newton's Method Is Exact?

Nov 3, 2004 · Replies 4 · Nov 3, 2004

Replies: 4

Views: 6K

Graduate Can a Linear Operator Define This Specific Polynomial Transformation?

Nov 2, 2004 · Replies 5 · Nov 3, 2004

Replies: 5

Views: 2K

Undergrad Power Series: Find First 4 Terms of Series Expansion for Sec x

Nov 1, 2004 · Replies 3 · Nov 3, 2004

Replies: 3

Views: 3K

Undergrad Can x be solved in this logarithmic equation?

Nov 2, 2004 · Replies 8 · Nov 3, 2004

Replies: 8

Views: 2K

Graduate Relativity and the Counting Process

Oct 27, 2004 · Replies 2 · Nov 3, 2004

Replies: 2

Views: 2K

Undergrad Proving the Sequence: 1^3 + 2^3 + 3^3 + ... + n^3 = \frac{n^2(n+1)^2}{4}

Nov 1, 2004 · Replies 7 · Nov 2, 2004

Replies: 7

Views: 2K

High School Derivative of a Line - A Newbie Question

Nov 2, 2004 · Replies 3 · Nov 2, 2004

Replies: 3

Views: 2K

Undergrad Solving Derivatives: Separating dy & dx

Nov 2, 2004 · Replies 9 · Nov 2, 2004

Replies: 9

Views: 2K

Undergrad Finding an eksponential function given 2 points

Oct 31, 2004 · Replies 16 · Nov 2, 2004

Replies: 16

Views: 10K

Graduate Finite area with infinite volume

Oct 30, 2004 · Replies 2 · Nov 2, 2004

Replies: 2

Views: 6K

Graduate I with a question of Foundations

Oct 26, 2004 · Replies 40 · Nov 2, 2004

2

Replies: 40

Views: 7K

Graduate Find the integration of the allee effect equation

Oct 25, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

Views: 2K

Undergrad Solving Physics Problem: Integral from 0 to pi (sin(theta)cos(theta))

Oct 25, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

Views: 3K

Graduate Why Do Some Functions Lack Algebraic Integrals Despite Being Continuous?

Oct 31, 2004 · Replies 5 · Nov 1, 2004

Replies: 5

Views: 2K

Graduate Another Question Regarding Power Series

Nov 1, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

Views: 2K

Undergrad Differentiation of a Power Series

Nov 1, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

Views: 7K

Undergrad Midterm Questions for Calculus I Course

Oct 31, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

Views: 3K

High School Help with fundamental concept of calculus; limits.

Oct 30, 2004 · Replies 9 · Nov 1, 2004

Replies: 9

Views: 5K

High School Integrals: Definition, Difference and Meaning

Oct 31, 2004 · Replies 8 · Nov 1, 2004

Replies: 8

Views: 3K

Graduate Don't know how to approach this one

Oct 24, 2004 · Replies 2 · Oct 31, 2004

Replies: 2

Views: 3K

Graduate Solve Integral: x^2[e^(-x^2)] from -∞ to ∞

Oct 28, 2004 · Replies 9 · Oct 31, 2004

Replies: 9

Views: 2K

Graduate Solving Complex Number Equations with e^{\frac{1}{2} i n x}

Oct 30, 2004 · Replies 7 · Oct 31, 2004

Replies: 7

Views: 2K

High School Tigonometric Identies problem help

Oct 30, 2004 · Replies 4 · Oct 31, 2004

Replies: 4

Views: 2K

Graduate Proving limits for converging sequences

Oct 23, 2004 · Replies 2 · Oct 30, 2004

Replies: 2

Views: 5K

Undergrad Help with Integral: Int(sqrt(a^2sin^2(t)+b^2cos^2(t))dt

Oct 29, 2004 · Replies 6 · Oct 30, 2004

Replies: 6

Views: 3K

Graduate How Do You Calculate the Arc Length of a Complex Curve?

Oct 28, 2004 · Replies 14 · Oct 30, 2004

Replies: 14

Views: 3K

Calculus

Welcome to the Calculus forum!

Calculus is a branch of mathematics that focuses on the study of continuous change and motion.

It comprises two primary branches: differential calculus, which examines rates of change and slopes of curves, and integral calculus, which deals with accumulation and the calculation of areas under curves. Developed independently by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, calculus has become a fundamental tool in various scientific and engineering disciplines.

It provides a powerful framework for analyzing and modeling dynamic processes, such as motion, growth, and decay, and forms the basis for understanding concepts like derivatives and integrals, essential for advanced mathematical and scientific studies.

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