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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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Differential Equations

Mixed approximation vs. full approximation for a power series expansion

6.8K threadsApr 17, 2026

Undergrad Mixed approximation vs. full approximation for a power series expansion

Apr 17, 2026

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Undergrad Man & Woman Separating at 10 sec: A Bridge View

cowgiljl
Nov 12, 2004 · Replies 2 · Nov 20, 2004

Replies: 2

Undergrad Does the Function f(x) Have a Fixed Point If f'(x) ≥ 2?

yayMath
Nov 12, 2004 · Replies 2 · Nov 19, 2004

Replies: 2

Graduate Finding the Radius of Gyration of a Racquet?

justagirl
Nov 17, 2004 · Replies 3 · Nov 19, 2004

Replies: 3

Undergrad Solving a Costly Word Problem: Finding the Cheapest Container

nspskier
Nov 12, 2004 · Replies 2 · Nov 19, 2004

Replies: 2

Undergrad Understanding Derivatives in Calculus: A Comprehensive Guide

QuantumTheory
Nov 18, 2004 · Replies 2 · Nov 19, 2004

Replies: 2

Undergrad How to Prove This Limit with Cube and Fourth Roots?

twoflower
Nov 18, 2004 · Replies 5 · Nov 19, 2004

Replies: 5

High School Help - new to differential equations

dcgeek
Nov 18, 2004 · Replies 6 · Nov 18, 2004

Replies: 6

Undergrad Proof of Arithemetic Progression

courtrigrad
Nov 11, 2004 · Replies 2 · Nov 18, 2004

Replies: 2

Undergrad A confusing prob. on maxima and minima

heman
Nov 11, 2004 · Replies 2 · Nov 18, 2004

Replies: 2

How to make those special symbols

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

Replies: 7

Undergrad Solving a Limit with Multiple Fractions

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

Replies: 5

Graduate Function continuous at irrationas and integers

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

Replies: 5

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

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

Replies: 2

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

cateater2000
Nov 13, 2004 · Replies 7 · Nov 17, 2004

Replies: 7

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

KeithF40
Nov 15, 2004 · Replies 10 · Nov 17, 2004

Replies: 10

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

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

Replies: 2

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

eku_girl83
Nov 16, 2004 · Replies 2 · Nov 16, 2004

Replies: 2

Graduate Are My Definitions of Continuity and Uniform Continuity Correct?

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

Replies: 6

Undergrad Find 1st 4 Non-Zero Terms Maclaurin Series

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

Replies: 3

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

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

Replies: 3

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

stunner5000pt
Nov 8, 2004 · Replies 2 · Nov 16, 2004

Replies: 2

Undergrad Understand why the harmonic series diverges

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

Replies: 2

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

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

Replies: 3

Undergrad Need Help Proving Limit of Sequence Problem

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

Replies: 7

Graduate Help on infinitesimal calculation

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

Replies: 6

Graduate Evaluating Integral: Step-by-Step Guide

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

Replies: 2

Undergrad Can Two Discontinuous Functions Become Continuous When Added Together?

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

Replies: 2

Undergrad Do Fourier Series Remain Unique When Functions Are Shifted?

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

Replies: 2

Graduate Solving an Arbitrage Problem in Forward Contract Pricing

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

Replies: 2

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

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

Replies: 2

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

quasar987
Nov 13, 2004 · Replies 8 · Nov 14, 2004

Replies: 8

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

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

Replies: 5

Undergrad Graphical link between function and derivate

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

Replies: 4

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

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

Replies: 2

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

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

Replies: 4

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

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

Replies: 4

Graduate Is the Tangent Function Surjective on Its Defined Interval?

quasar987
Nov 12, 2004 · Replies 3 · Nov 12, 2004

Replies: 3

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

TSN79
Nov 10, 2004 · Replies 5 · Nov 12, 2004

Replies: 5

Graduate Solving a Logarithmic Integral: Is it Right?

Alem2000
Nov 4, 2004 · Replies 2 · Nov 11, 2004

Replies: 2

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

quasar987
Nov 10, 2004 · Replies 4 · Nov 11, 2004

Replies: 4

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

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

Replies: 3

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

KeithF40
Nov 9, 2004 · Replies 7 · Nov 11, 2004

Replies: 7

Graduate Solve Crazy Lagrange Problem: Min Distance from Origin

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

Replies: 2

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

matpo39
Nov 10, 2004 · Replies 3 · Nov 11, 2004

Replies: 3

Undergrad Application of Calculus to Finanace

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

Replies: 2

Undergrad Can someone explain this?(Taylor polynomials)

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

Replies: 3

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

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

Replies: 13

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

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

Replies: 2

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

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

Replies: 2

Graduate Proving the Existence of Fixed Points in Monotone Increasing Functions

zolit
Nov 5, 2004 · Replies 3 · Nov 9, 2004

Replies: 3

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

MathematicalPhysics
Nov 9, 2004 · Replies 3 · Nov 9, 2004

Replies: 3

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

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

Replies: 12

Undergrad Find Distance Between Spherical Polar & Cartesian Points

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

Replies: 11

Undergrad What values of x make this series converge?

Alem2000
Nov 8, 2004 · Replies 8 · Nov 9, 2004

Replies: 8

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

Ed Quanta
Nov 8, 2004 · Replies 6 · Nov 9, 2004

Replies: 6

Undergrad Is the Validity of the Proof in Question?

semidevil
Nov 8, 2004 · Replies 2 · Nov 9, 2004

Replies: 2

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

twoflower
Nov 8, 2004 · Replies 4 · Nov 9, 2004

Replies: 4

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

eagle_johny
Nov 8, 2004 · Replies 2 · Nov 8, 2004

Replies: 2

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

tonix
Nov 6, 2004 · Replies 3 · Nov 8, 2004

Replies: 3

Undergrad Continuity of a Function of Two Variables

DeadxBunny
Nov 8, 2004 · Replies 2 · Nov 8, 2004

Replies: 2

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

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

Replies: 5

High School Series, Sequences and Progressions

Cheman
Nov 7, 2004 · Replies 3 · Nov 8, 2004

Replies: 3

Graduate Calc Proof(s): Uniform Continuity

mtvateallmybrains
Nov 8, 2004 · Replies 2 · Nov 8, 2004

Replies: 2

Undergrad Combining product rule with chain rule

ziddy83
Nov 7, 2004 · Replies 2 · Nov 7, 2004

Replies: 2

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

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

Replies: 10

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

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

Replies: 2

Undergrad A tricky integration problem. Save me

saksham
Nov 4, 2004 · Replies 2 · Nov 6, 2004

Replies: 2

Graduate Doubts in Differential equations

siddharth
Nov 6, 2004 · Replies 5 · Nov 6, 2004

Replies: 5

Undergrad Cannot decipher and solve limits help

semidevil
Nov 5, 2004 · Replies 2 · Nov 6, 2004

Replies: 2

Undergrad Proof of Equality: Summation & 2^n

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

Replies: 11

Undergrad Understanding Limit of a Sequence - Kamataat

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

Replies: 28

Undergrad Need Help On Initial Value Problems

vpathak
Nov 4, 2004 · Replies 5 · Nov 5, 2004

Replies: 5

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

oreon
Nov 4, 2004 · Replies 8 · Nov 5, 2004

Replies: 8

Graduate Fourier Representation of Simple Half-Wave Rectifier

cj
Nov 4, 2004 · Replies 1 · Nov 5, 2004

Replies: 1

Undergrad Second rule of comparison in math series

Alem2000
Nov 4, 2004 · Replies 2 · Nov 5, 2004

Replies: 2

Undergrad Actual integration of a function

courtrigrad
Nov 4, 2004 · Replies 5 · Nov 5, 2004

Replies: 5

Undergrad Optimazation math homework

jenjen07
Oct 28, 2004 · Replies 2 · Nov 4, 2004

Replies: 2

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

danne89
Nov 2, 2004 · Replies 17 · Nov 4, 2004

Replies: 17

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

Fritz
Nov 2, 2004 · Replies 5 · Nov 4, 2004

Replies: 5

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

danne89
Nov 3, 2004 · Replies 6 · Nov 4, 2004

Replies: 6

Undergrad To prove this equation can exist or not hmm

BrendanM
Nov 2, 2004 · Replies 3 · Nov 3, 2004

Replies: 3

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

Coldie
Nov 3, 2004 · Replies 2 · Nov 3, 2004

Replies: 2

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

rpc
Nov 3, 2004 · Replies 4 · Nov 3, 2004

Replies: 4

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

oreon
Nov 3, 2004 · Replies 4 · Nov 3, 2004

Replies: 4

Graduate Can a Linear Operator Define This Specific Polynomial Transformation?

bomba923
Nov 2, 2004 · Replies 5 · Nov 3, 2004

Replies: 5

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

Fermatslast
Nov 1, 2004 · Replies 3 · Nov 3, 2004

Replies: 3

Undergrad Can x be solved in this logarithmic equation?

Dr-NiKoN
Nov 2, 2004 · Replies 8 · Nov 3, 2004

Replies: 8

Graduate Relativity and the Counting Process

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

Replies: 2

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

JasonRox
Nov 1, 2004 · Replies 7 · Nov 2, 2004

Replies: 7

High School Derivative of a Line - A Newbie Question

danne89
Nov 2, 2004 · Replies 3 · Nov 2, 2004

Replies: 3

Undergrad Solving Derivatives: Separating dy & dx

Fritz
Nov 2, 2004 · Replies 9 · Nov 2, 2004

Replies: 9

Undergrad Finding an eksponential function given 2 points

Dr-NiKoN
Oct 31, 2004 · Replies 16 · Nov 2, 2004

Replies: 16

Graduate Finite area with infinite volume

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

Replies: 2

Graduate I with a question of Foundations

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

2

Replies: 40

Graduate Find the integration of the allee effect equation

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

Replies: 2

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

pt176900
Oct 25, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

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

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

Replies: 5

Graduate Another Question Regarding Power Series

DivGradCurl
Nov 1, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

Undergrad Differentiation of a Power Series

DivGradCurl
Nov 1, 2004 · Replies 2 · Nov 1, 2004

Replies: 2

Undergrad Midterm Questions for Calculus I Course

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

Replies: 2

sidebar

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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