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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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Graduate Solving Integral: x + 4a + b / [x - (a + b)]^2 + c^2

sccv
Dec 10, 2004 · Replies 3 · Dec 12, 2004

Replies: 3

Graduate Divergence of a Radial Vector Field

cepheid
Dec 12, 2004 · Replies 2 · Dec 12, 2004

Replies: 2

Graduate Finding Limit of Sequence a_n with Parameter k

Nobody1111
Dec 10, 2004 · Replies 3 · Dec 12, 2004

Replies: 3

Undergrad Help Needed: Find Points on x+xy+2y^2=6 with Slope at (2,1)

ashleyk
Dec 12, 2004 · Replies 2 · Dec 12, 2004

Replies: 2

High School Simplifying Trig Functions: Understanding (a)(sin/cos/tan/cot/sec/csc) Graphs

Kimorto
Dec 10, 2004 · Replies 4 · Dec 12, 2004

Replies: 4

Undergrad Paramatrize a peicewise function?

600burger
Dec 11, 2004 · Replies 10 · Dec 11, 2004

Replies: 10

Undergrad Calc III: Finding Partial Derivatives for a Challenging Integral Function

falcon0311
Dec 4, 2004 · Replies 2 · Dec 11, 2004

Replies: 2

Undergrad Why Can't I Use 1/N for LCT Convergence?

karen03grae
Dec 8, 2004 · Replies 6 · Dec 11, 2004

Replies: 6

High School How Do You Integrate the Function 1/x?

misogynisticfeminist
Nov 20, 2004 · Replies 42 · Dec 11, 2004

2

Replies: 42

Undergrad Solving Isosceles Triangle Problem with Calculus

calvinnn
Dec 10, 2004 · Replies 2 · Dec 10, 2004

Replies: 2

Undergrad Antiderivative Help: Evaluate Intriguing Integral

Manchot
Dec 8, 2004 · Replies 13 · Dec 10, 2004

Replies: 13

Graduate Proving Convergence of Sequences Using the Mean Value Theorem

quasar987
Dec 9, 2004 · Replies 5 · Dec 10, 2004

Replies: 5

Undergrad Limits of Sin/Exp as x Approaches 0

SomeRandomGuy
Dec 9, 2004 · Replies 4 · Dec 9, 2004

Replies: 4

Undergrad Understanding the Rules of Summation: How Do I Solve This Problem?

RadiationX
Nov 30, 2004 · Replies 12 · Dec 9, 2004

Replies: 12

Undergrad Why Does My Calculus Integral Result in Undefined?

whisperblade
Dec 6, 2004 · Replies 11 · Dec 9, 2004

Replies: 11

Undergrad Determining Convergence of Alternative Series

quasar987
Dec 9, 2004 · Replies 2 · Dec 9, 2004

Replies: 2

Undergrad Understanding Small Changes in Calculus

roger
Dec 8, 2004 · Replies 11 · Dec 9, 2004

Replies: 11

Graduate A Little Problem with a Simple Integral

Alamino
Dec 8, 2004 · Replies 3 · Dec 9, 2004

Replies: 3

Undergrad Help with "Largest Area" of Rectangle Problem

shadow5449
Dec 8, 2004 · Replies 6 · Dec 8, 2004

Replies: 6

Graduate Solve Series Convergence: Cauchy's n^{th} Root Criterion

quasar987
Dec 8, 2004 · Replies 3 · Dec 8, 2004

Replies: 3

Undergrad Confused About Infinity: Help Understanding a Math Limit

danne89
Dec 8, 2004 · Replies 3 · Dec 8, 2004

Replies: 3

Undergrad Is the derivative of f(x) = log(base 5) x equal to 1/(x * ln(5))?

courtrigrad
Dec 7, 2004 · Replies 3 · Dec 8, 2004

Replies: 3

Undergrad Optimization find radius problem

calvinnn
Dec 6, 2004 · Replies 3 · Dec 8, 2004

Replies: 3

Undergrad Finding upper and lower sums of a region

RadiationX
Dec 6, 2004 · Replies 5 · Dec 8, 2004

Replies: 5

Undergrad How can I create a power series expansion for x^2 / (1+x^2)?

yayMath
Dec 7, 2004 · Replies 2 · Dec 8, 2004

Replies: 2

Graduate Example of Function f:R-R where lim x→0 xf(1/x) ≠ 0

Trigger
Dec 7, 2004 · Replies 3 · Dec 7, 2004

Replies: 3

Undergrad Question about integrals in general

Ed Quanta
Nov 30, 2004 · Replies 2 · Dec 7, 2004

Replies: 2

High School The Secret to Solving 501^2 - 400^2: Revealed!

rachelcapt
Dec 7, 2004 · Replies 3 · Dec 7, 2004

Replies: 3

Graduate Integration question re Fourier Transform

celal777
Nov 30, 2004 · Replies 2 · Dec 7, 2004

Replies: 2

Undergrad Integrate Spiral on YZ Plane | Location X | Need Help with Problem

starbaj12
Dec 5, 2004 · Replies 9 · Dec 6, 2004

Replies: 9

Undergrad Potential function of conservative vector field

600burger
Dec 5, 2004 · Replies 3 · Dec 6, 2004

Replies: 3

Undergrad Few stupid questions about polar curves and stuff

formula107
Dec 5, 2004 · Replies 6 · Dec 6, 2004

Replies: 6

Graduate Solving constraint equations [Term Paper, HELP ]

skjalff
Dec 6, 2004 · Replies 3 · Dec 6, 2004

Replies: 3

Undergrad Integrals with no limits. (Backwards differientation)

QuantumTheory
Dec 4, 2004 · Replies 3 · Dec 5, 2004

Replies: 3

Undergrad How can integration by parts simplify this integral?

starbaj12
Dec 5, 2004 · Replies 2 · Dec 5, 2004

Replies: 2

Graduate Proving the Sum of Complex Numbers on the Unit Circle

broegger
Dec 5, 2004 · Replies 12 · Dec 5, 2004

Replies: 12

Graduate Infinite Product of (1+a2n-1)(1+a2n) - Math Help

euclid3.14
Dec 3, 2004 · Replies 8 · Dec 5, 2004

Replies: 8

Undergrad From indefinite integral to fundamental theorem of calculus, how does it all link?

haribol
Dec 4, 2004 · Replies 12 · Dec 5, 2004

Replies: 12

High School Methods of Solving Solids of Revolution - Jameson

Jameson
Dec 2, 2004 · Replies 5 · Dec 5, 2004

Replies: 5

Undergrad Odd Functions and Their Derivatives: A Theorem

Zaare
Dec 5, 2004 · Replies 2 · Dec 5, 2004

Replies: 2

Graduate How can we solve this Putnam equation exactly?

agro
Dec 3, 2004 · Replies 10 · Dec 4, 2004

Replies: 10

Undergrad What is the Y-coordinate of the extrema for cosh(x)+tanh(x)?

Eric78
Dec 2, 2004 · Replies 5 · Dec 3, 2004

Replies: 5

Graduate Find Math Problems for Math Finals Preparation

Joe1
Dec 3, 2004 · Replies 4 · Dec 3, 2004

Replies: 4

Graduate How to Evaluate a Cauchy Integral on Different Paths?

redshift
Nov 25, 2004 · Replies 2 · Dec 2, 2004

Replies: 2

Undergrad Maybe Euler's formula may be useful

hedlund
Nov 25, 2004 · Replies 2 · Dec 2, 2004

Replies: 2

Undergrad How Do You Solve These Challenging Calculus Problems?

Kobrakai
Dec 1, 2004 · Replies 5 · Dec 2, 2004

Replies: 5

Undergrad Finding the Volume of a Rotation About the x and y Axis

Habosh
Dec 2, 2004 · Replies 4 · Dec 2, 2004

Replies: 4

Graduate Continuity of Functions with Unbounded Domains and the Limit of Compositions

quasar987
Dec 2, 2004 · Replies 8 · Dec 2, 2004

Replies: 8

Graduate How Can You Prove the Error Function in Mathematics?

vtnsx
Nov 24, 2004 · Replies 2 · Dec 1, 2004

Replies: 2

Undergrad Helping on how to do find solution to diff equation

Pepsi24chevy
Dec 1, 2004 · Replies 3 · Dec 1, 2004

Replies: 3

Undergrad Transforming Equations to Solve for Unknown Variables for Scientists

vabamyyr
Dec 1, 2004 · Replies 3 · Dec 1, 2004

Replies: 3

Undergrad Showing f(x-y) = f(x) - f(y) for Additive Functions

Ed Quanta
Nov 30, 2004 · Replies 7 · Dec 1, 2004

Replies: 7

Undergrad Can someone help me understand Taylor and MacLaurin series?

Wee Sleeket
Nov 30, 2004 · Replies 4 · Dec 1, 2004

Replies: 4

Undergrad Discrete Calculus: Derivatives & Integrals

Eppur si muove
Nov 30, 2004 · Replies 2 · Dec 1, 2004

Replies: 2

Undergrad What is the integral of x*sin(ax)?

ponjavic
Nov 29, 2004 · Replies 8 · Dec 1, 2004

Replies: 8

Undergrad Definite and Indefinite intregrals.

QuantumTheory
Nov 30, 2004 · Replies 4 · Nov 30, 2004

Replies: 4

Graduate How Can Recurrence Relations Help Solve the Hard Logarithm Problem?

courtrigrad
Nov 23, 2004 · Replies 2 · Nov 30, 2004

Replies: 2

Undergrad What could be causing issues with Green's Theorem?

Chronocidal Guy
Nov 23, 2004 · Replies 2 · Nov 30, 2004

Replies: 2

Undergrad Does a Rectangle's Area Always Increase with Its Perimeter?

circa415
Nov 30, 2004 · Replies 2 · Nov 30, 2004

Replies: 2

Undergrad Partial Fraction: Simplifying 3/(x^3 + 3) - Urgent Help Needed

saltrock
Nov 30, 2004 · Replies 1 · Nov 30, 2004

Replies: 1

Undergrad Understanding the Differences Between Indefinite and Definite Integrals with DX

QuantumTheory
Nov 28, 2004 · Replies 7 · Nov 30, 2004

Replies: 7

Undergrad Gamma Function: Definition & Properties

Tiiba
Nov 26, 2004 · Replies 2 · Nov 29, 2004

Replies: 2

Undergrad A question about path independence and curl of a vector field

harsh
Nov 28, 2004 · Replies 4 · Nov 29, 2004

Replies: 4

High School Solving Limits: Proving x→7 Sqrt(16-x)=3

bezgin
Nov 24, 2004 · Replies 8 · Nov 29, 2004

Replies: 8

Undergrad How Is the Integral Independent of x in My Calculus Problem?

mathemagician
Nov 29, 2004 · Replies 4 · Nov 29, 2004

Replies: 4

Graduate Evaluation of Integrals using Complex Variables

Ed Quanta
Nov 17, 2004 · Replies 19 · Nov 29, 2004

Replies: 19

Graduate Solving Integral Problem: dx/cos(x) with exp(ix)=t method

eljose
Nov 26, 2004 · Replies 12 · Nov 29, 2004

Replies: 12

Undergrad How can I find the partial fraction expansion of the integrand z/[(z-2i)(z+i)]?

redshift
Nov 27, 2004 · Replies 5 · Nov 29, 2004

Replies: 5

Undergrad Stuck on Integrating e^(x^3) x^2?

misogynisticfeminist
Nov 29, 2004 · Replies 2 · Nov 29, 2004

Replies: 2

Undergrad Is Y=0 a Horizontal Asymptote for the Function in Exam Question 2d?

furkang
Nov 29, 2004 · Replies 2 · Nov 29, 2004

Replies: 2

Graduate Complex partial differentiation?

kakarukeys
Nov 20, 2004 · Replies 2 · Nov 29, 2004

Replies: 2

High School Best book/software for Calculus?

Gecko
Nov 18, 2004 · Replies 13 · Nov 28, 2004

Replies: 13

High School Floor Functions: Explained & Illustrated

matrix_204
Nov 21, 2004 · Replies 2 · Nov 28, 2004

Replies: 2

Undergrad What is the ratio test and how does it relate to geometric series?

karen03grae
Nov 22, 2004 · Replies 4 · Nov 28, 2004

Replies: 4

Graduate Question about Complex Integrals

Claire84
Nov 16, 2004 · Replies 27 · Nov 28, 2004

Replies: 27

High School Started talking about integrals

mad
Nov 27, 2004 · Replies 2 · Nov 27, 2004

Replies: 2

Graduate Where Do Singularities and Dispersion Relations Arise in Complex Functions?

Ed Quanta
Nov 20, 2004 · Replies 2 · Nov 27, 2004

Replies: 2

Graduate Finding Taylor Polynomial for f(x) = (1+x)^{2/3}

3.14159265358979
Nov 26, 2004 · Replies 4 · Nov 27, 2004

Replies: 4

Undergrad How Do You Integrate 1/[xlog(x)]?

euclid3.14
Nov 26, 2004 · Replies 7 · Nov 27, 2004

Replies: 7

Graduate Is There a Continuous Function Satisfying These Conditions?

yayMath
Nov 16, 2004 · Replies 6 · Nov 26, 2004

Replies: 6

Undergrad How to Find the Partial Fraction of z/(z^2 -1)?

redshift
Nov 25, 2004 · Replies 2 · Nov 25, 2004

Replies: 2

Undergrad Local Max & Min of Continuous Function f on [a,b]

trap
Nov 23, 2004 · Replies 2 · Nov 24, 2004

Replies: 2

Graduate 2 functions f,g:X -> X that are discontinuous

mansi
Nov 17, 2004 · Replies 2 · Nov 24, 2004

Replies: 2

Graduate How Does Calculating the Limit Help Find g in Advanced Mathematics?

JasonRox
Nov 16, 2004 · Replies 2 · Nov 24, 2004

Replies: 2

Undergrad Where did this formula come from?

twoflower
Nov 23, 2004 · Replies 11 · Nov 24, 2004

Replies: 11

Undergrad Solving Indefinite Integral of Normal Equation

Erienion
Nov 23, 2004 · Replies 2 · Nov 24, 2004

Replies: 2

Graduate What is the connection between integrability and Lebesgue measure zero?

philosophking
Nov 15, 2004 · Replies 2 · Nov 23, 2004

Replies: 2

Undergrad How does the mean-value theorem relate to the difference quotient?

trap
Nov 17, 2004 · Replies 2 · Nov 23, 2004

Replies: 2

Undergrad Proving e^x=\sum_{n=0}^{\infty}\frac{x^n}{n!}

Alem2000
Nov 17, 2004 · Replies 8 · Nov 23, 2004

Replies: 8

Graduate A definitions for the terms the limit does not exists

quasar987
Nov 23, 2004 · Replies 2 · Nov 23, 2004

Replies: 2

Graduate Does This Sequence Have a Limit?

twoflower
Nov 23, 2004 · Replies 4 · Nov 23, 2004

Replies: 4

Graduate Solving Yesterday's Calculus Test Problems

twoflower
Nov 20, 2004 · Replies 13 · Nov 23, 2004

Replies: 13

Undergrad Can complex exponential e^{ix} be proven without using Taylor series?

eddo
Nov 22, 2004 · Replies 3 · Nov 23, 2004

Replies: 3

Graduate Operations on Limit: Does 0 imply Non-Existence?

quasar987
Nov 16, 2004 · Replies 7 · Nov 22, 2004

Replies: 7

Graduate Just need a quick explanation (Power Series)

DivGradCurl
Nov 21, 2004 · Replies 2 · Nov 22, 2004

Replies: 2

Undergrad Integrating csc(x): Easier Than You Think

DrKareem
Nov 21, 2004 · Replies 9 · Nov 22, 2004

Replies: 9

Graduate How Can I Map Cassini's Oval to the Unit Disk?

T-O7
Nov 14, 2004 · Replies 2 · Nov 21, 2004

Replies: 2

Graduate Solve Integral: $\int \sqrt{\tan(x)} \ dx$

j_madison
Nov 14, 2004 · Replies 2 · Nov 21, 2004

Replies: 2

Undergrad Need help with integral function

jenjen07
Nov 13, 2004 · Replies 2 · Nov 20, 2004

Replies: 2

Undergrad Related rates grain hopper problem

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