Skip to main content

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.

Sub-forums

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

Filters

Graduate Approximating integral of x^4 e^-x

StatusX
Apr 28, 2005 · Replies 2 · Apr 29, 2005

Replies: 2

Undergrad Math Notation: P Approaching Zero from the Negative Side

zeta101
Apr 29, 2005 · Replies 4 · Apr 29, 2005

Replies: 4

Undergrad Having a hard time with a derivative

Rolando Valdez
Apr 27, 2005 · Replies 6 · Apr 29, 2005

Replies: 6

Graduate Integrating 1/(u⁴+1), 1/(u⁵+1), and 1/(u⁶+1)

DH
Apr 29, 2005 · Replies 12 · Apr 29, 2005

Replies: 12

Undergrad Integrating cos(u^2): A Calc One Challenge

whozum
Apr 28, 2005 · Replies 23 · Apr 29, 2005

Replies: 23

Graduate Complex Contour Integral: Does it Equal 0?

Lizzie11
Apr 24, 2005 · Replies 24 · Apr 28, 2005

Replies: 24

Undergrad Solve the Math Puzzle: Help a High School Grad Integrate x!

abia ubong
Apr 27, 2005 · Replies 16 · Apr 28, 2005

Replies: 16

High School Graph the learning curve L(x) = (x - 2)^3 +8

Rolando Valdez
Apr 28, 2005 · Replies 3 · Apr 28, 2005

Replies: 3

High School Diff Calculus: Learn Differential & Integral Calc

chound
Apr 25, 2005 · Replies 7 · Apr 27, 2005

Replies: 7

Graduate Triple-integrating a region with no volume

Icebreaker
Apr 25, 2005 · Replies 21 · Apr 27, 2005

Replies: 21

Graduate Summing Infinite Series: Is it Acceptable?

quasar987
Apr 25, 2005 · Replies 20 · Apr 27, 2005

Replies: 20

Graduate Is the Union of a Bounded Set and Its Accumulation Points Also Bounded?

Argonlight
Apr 19, 2005 · Replies 2 · Apr 26, 2005

Replies: 2

Graduate Taylor Series Expansion for z^i at z=1+i: First Three Terms

xorbie
Apr 26, 2005 · Replies 6 · Apr 26, 2005

Replies: 6

Graduate Solving Doomsday Equations: Get Help Here!

Beez
Apr 26, 2005 · Replies 2 · Apr 26, 2005

Replies: 2

Undergrad Maclaurin Series for Expanding sin(2x)^2: Step-by-Step Guide

vabamyyr
Apr 26, 2005 · Replies 3 · Apr 26, 2005

Replies: 3

Graduate Is there a function that satisfies these two limit conditions?

kleinwolf
Apr 24, 2005 · Replies 8 · Apr 25, 2005

Replies: 8

Undergrad How do I approximate the integral

Icebreaker
Apr 24, 2005 · Replies 4 · Apr 25, 2005

Replies: 4

High School Hard Q to take a derivative of

the4thcafeavenue
Apr 23, 2005 · Replies 9 · Apr 25, 2005

Replies: 9

Undergrad Simple differential equation question

thursday
Apr 18, 2005 · Replies 2 · Apr 25, 2005

Replies: 2

Undergrad How do I use trig substitution to solve this integral?

p53ud0 dr34m5
Apr 24, 2005 · Replies 6 · Apr 24, 2005

Replies: 6

Undergrad What is the Point Where the Tangent Line is Vertical for x(t)=y(t)=t^2?

andrewdavid
Apr 22, 2005 · Replies 8 · Apr 24, 2005

Replies: 8

Undergrad Integrals: Why Use Arctan Formula?

RadiationX
Apr 23, 2005 · Replies 7 · Apr 24, 2005

Replies: 7

High School Wierd Q to take a derivative of

the4thcafeavenue
Apr 23, 2005 · Replies 6 · Apr 24, 2005

Replies: 6

Graduate Understand Laplace Transformations and Delta Functions in Calculus

Zurtex
Apr 20, 2005 · Replies 13 · Apr 23, 2005

Replies: 13

Graduate Proof of L'Hospital's Rule 3: Lim f(x)/g(x) = ∞

ocalvino
Apr 23, 2005 · Replies 2 · Apr 23, 2005

Replies: 2

Undergrad Maximizing and Minimizing Functions with Lagrange Multipliers

Pepsi24chevy
Apr 23, 2005 · Replies 6 · Apr 23, 2005

Replies: 6

Undergrad Solving Partial Derivatives Problem: Limit of (xy)/((x^2)+(y^2))^(1/2)

sjsustudent2004
Apr 21, 2005 · Replies 7 · Apr 23, 2005

Replies: 7

Undergrad Apostol Calculus Vol.1 Exercise 2 Help Requested

danne89
Apr 22, 2005 · Replies 6 · Apr 23, 2005

Replies: 6

Graduate Is There a Difference Between These Two Notations for Infinite Summation?

Icebreaker
Apr 22, 2005 · Replies 3 · Apr 23, 2005

Replies: 3

Undergrad Need Good book on Vector Calculus

newbie101
Apr 22, 2005 · Replies 8 · Apr 23, 2005

Replies: 8

Undergrad What Is the Y-Axis Scale That Transforms Sine Waves into Straight Lines?

RandallB
Apr 15, 2005 · Replies 9 · Apr 22, 2005

Replies: 9

Undergrad How do I find the area between two curves with one function not always on top?

ashleyk
Apr 17, 2005 · Replies 14 · Apr 22, 2005

Replies: 14

Graduate Couple questions about complex integrals

cAm
Apr 15, 2005 · Replies 7 · Apr 22, 2005

Replies: 7

Undergrad Solve 0=0.002*e^-(0.005/2R) to Find R

Josh123
Apr 21, 2005 · Replies 4 · Apr 22, 2005

Replies: 4

Undergrad Understand Complex Calculus: Diff. & Integ.

rhia
Apr 13, 2005 · Replies 5 · Apr 22, 2005

Replies: 5

Undergrad Cross Products relation to area.

mkkrnfoo85
Apr 22, 2005 · Replies 2 · Apr 22, 2005

Replies: 2

Graduate Solving an Integral with the Ei Function

Pyrrhus
Apr 21, 2005 · Replies 4 · Apr 22, 2005

Replies: 4

Graduate How to Solve for f in a Nonlinear Difference Equation?

phoenixthoth
Apr 4, 2005 · Replies 11 · Apr 21, 2005

Replies: 11

Graduate How to Find Equivalent Triple Integrals?

trancefishy
Apr 18, 2005 · Replies 18 · Apr 21, 2005

Replies: 18

Undergrad Trouble with the following limit

devious_
Apr 21, 2005 · Replies 3 · Apr 21, 2005

Replies: 3

Undergrad What is the General Method for Deriving Cubic Roots?

AndyCav
Apr 21, 2005 · Replies 6 · Apr 21, 2005

Replies: 6

Graduate RMS Derivation of Piecewise Sinusiodal Function

j0shha1nes
Apr 19, 2005 · Replies 2 · Apr 21, 2005

Replies: 2

Undergrad Is Calculus Really as Hard as It Seems?

QuantumTheory
Apr 13, 2005 · Replies 2 · Apr 20, 2005

Replies: 2

Graduate Proving Continuous Function F: Cb(R) -> Cb(R)

Ed Quanta
Apr 13, 2005 · Replies 2 · Apr 20, 2005

Replies: 2

Undergrad How can I parametrize a paraboloid using two or one parameter?

goleafsgo113
Apr 13, 2005 · Replies 2 · Apr 20, 2005

Replies: 2

Undergrad The Role of the Jacobian in Change of Variables Integration

philosophking
Apr 17, 2005 · Replies 5 · Apr 20, 2005

Replies: 5

Undergrad Where Can I Find a Clear Overview of Calculus Basics?

Fanman22
Apr 13, 2005 · Replies 2 · Apr 20, 2005

Replies: 2

Graduate Why is [tex]l^1[/tex] not reflexive

snoble
Apr 12, 2005 · Replies 3 · Apr 20, 2005

Replies: 3

Undergrad How to Calculate the Integral of sin(ln x)?

kennis2
Apr 19, 2005 · Replies 5 · Apr 20, 2005

Replies: 5

Undergrad Help~ Don't remember what the point of tengency is.

baby_garfield
Apr 19, 2005 · Replies 1 · Apr 20, 2005

Replies: 1

Undergrad Why Is the Jacobian Determinant Used in Double and Triple Integrals?

Oggy
Apr 13, 2005 · Replies 2 · Apr 20, 2005

Replies: 2

Graduate Interchanging diff. and integr. rigorously

LouisR
Apr 12, 2005 · Replies 1 · Apr 20, 2005

Replies: 1

Graduate Is a Continuous and Periodic Function Bounded and Uniformly Continuous on R?

steven187
Apr 19, 2005 · Replies 3 · Apr 19, 2005

Replies: 3

Undergrad Differentiation Help: Solving x|x| & g(x) Problems

semidevil
Apr 18, 2005 · Replies 2 · Apr 18, 2005

Replies: 2

Undergrad Verifying Solution for |1 -1| = P |-2 1|

Cafka
Apr 18, 2005 · Replies 3 · Apr 18, 2005

Replies: 3

Undergrad Can Calculus Tricks Simplify These Limit Problems?

amcavoy
Apr 17, 2005 · Replies 2 · Apr 17, 2005

Replies: 2

Undergrad How Is the Full Taylor Series Derived Beyond Its Linear Approximation?

amcavoy
Apr 9, 2005 · Replies 2 · Apr 16, 2005

Replies: 2

Undergrad Solving Indeterminate Forms: e^∞, √∞, a^∞, 1^∞

RadiationX
Apr 16, 2005 · Replies 9 · Apr 16, 2005

Replies: 9

Graduate The 'integration by change of variable' theorem

quasar987
Apr 13, 2005 · Replies 5 · Apr 15, 2005

Replies: 5

High School How to check implicit differentiation results with calculator?

ktpr2
Apr 8, 2005 · Replies 2 · Apr 15, 2005

Replies: 2

High School Is the book wrong about the work done by the equation 8x-16 from 0 to 3?

whatdofisheat
Apr 13, 2005 · Replies 8 · Apr 15, 2005

Replies: 8

Graduate Integration of (x^2-x^3)^-(1/3) from 0 to 1

DE7
Apr 14, 2005 · Replies 3 · Apr 15, 2005

Replies: 3

Graduate Explaining Line Integrals and Gradient in Conservative Fields

Willa
Apr 14, 2005 · Replies 2 · Apr 15, 2005

Replies: 2

Undergrad Positive or Negative Acceleration? and Antiderivative of 1/(sin^2)?

sjaguar13
Apr 15, 2005 · Replies 8 · Apr 15, 2005

Replies: 8

Undergrad Proving the Dominance of e^x over x^e: A Mathematical Inquiry

Echo 6 Sierra
Apr 12, 2005 · Replies 6 · Apr 15, 2005

Replies: 6

Graduate Can Continuous Functions on [0,1] Approach 1 but Not Equal 1 at x=1?

Ed Quanta
Apr 14, 2005 · Replies 3 · Apr 14, 2005

Replies: 3

Undergrad Is there an easy way to find the value of e^(-x^2) using numerical methods?

C0nfused
Apr 13, 2005 · Replies 10 · Apr 14, 2005

Replies: 10

Graduate Explaining Catastrophe Theory for an Infinite 2D Body

boatzanshoe
Apr 13, 2005 · Replies 6 · Apr 14, 2005

Replies: 6

Graduate .Line Integral in the First Quadrant

kidia
Apr 13, 2005 · Replies 9 · Apr 14, 2005

Replies: 9

Graduate Why does the series 1/n! diverge in the p-adic metric?

Ed Quanta
Apr 12, 2005 · Replies 6 · Apr 14, 2005

Replies: 6

Undergrad How Fast is the Area of an Equilateral Triangle Changing?

Peppy
Apr 13, 2005 · Replies 2 · Apr 14, 2005

Replies: 2

Undergrad Reverse Integral and Evaluation: A Trick Question?

NINHARDCOREFAN
Apr 13, 2005 · Replies 7 · Apr 13, 2005

Replies: 7

Undergrad Does the Limit of (sqrt(|ab|) * |h|) / h as h Approaches 0 Exist?

Callisto
Apr 12, 2005 · Replies 20 · Apr 13, 2005

Replies: 20

Graduate The graph of a continuous function has zero content

Castilla
Apr 13, 2005 · Replies 3 · Apr 13, 2005

Replies: 3

Undergrad How can I improve my limit-setting skills for double integrals?

mkkrnfoo85
Apr 6, 2005 · Replies 2 · Apr 13, 2005

Replies: 2

Graduate Partial Derivatives: Definition, Geometry & Applications

Reshma
Apr 9, 2005 · Replies 16 · Apr 13, 2005

Replies: 16

Undergrad What is the True Definition of Indefinite Integrals?

cepheid
Apr 13, 2005 · Replies 4 · Apr 13, 2005

Replies: 4

Undergrad Related Rates height of cylinder

ashleyk
Apr 5, 2005 · Replies 2 · Apr 13, 2005

Replies: 2

High School X^x, does this function have a name ?

uart
Apr 6, 2005 · Replies 25 · Apr 13, 2005

Replies: 25

Undergrad Limit of SQRT(X)SIN(1/X) as X Goes to Infinity

huan.conchito
Apr 12, 2005 · Replies 6 · Apr 12, 2005

Replies: 6

Undergrad Double Integrals: Area or Volume?

mkkrnfoo85
Apr 10, 2005 · Replies 7 · Apr 12, 2005

Replies: 7

Graduate Continuous and nowhere differentiable

saltydog
Apr 2, 2005 · Replies 31 · Apr 12, 2005

2

Replies: 31

Graduate How Are Parametric Equations Derived in Complex Mathematical Problems?

GCT
Apr 12, 2005 · Replies 1 · Apr 12, 2005

Replies: 1

Graduate How Do I Prove That the Limit of \( n!^{n^{-n}} \) Equals 1?

bomba923
Apr 12, 2005 · Replies 1 · Apr 12, 2005

Replies: 1

Graduate Convergence Questions: Volume Generated by x|y| = c with f(x)g(y) = c Relation

bomba923
Apr 10, 2005 · Replies 16 · Apr 11, 2005

Replies: 16

Undergrad Solving such integrals numerically?

TSN79
Apr 11, 2005 · Replies 8 · Apr 11, 2005

Replies: 8

Graduate Integrating a 3x3 orientation matrix

minionx
Apr 10, 2005 · Replies 4 · Apr 10, 2005

Replies: 4

High School Need Help with Integral question

radtad
Apr 10, 2005 · Replies 3 · Apr 10, 2005

Replies: 3

Undergrad Can You Prove ln(e)/e > ln(pi)/pi Without Calculations?

Guero
Apr 10, 2005 · Replies 4 · Apr 10, 2005

Replies: 4

Undergrad Proving the Limit of Sin x/x Using Squeeze Theorem

Benny
Apr 7, 2005 · Replies 19 · Apr 10, 2005

Replies: 19

Undergrad Double integral to find the area of the region enclosed by the curve

PhysicsMajor
Apr 10, 2005 · Replies 2 · Apr 10, 2005

Replies: 2

Graduate Definite integral and Gamma functions

saltydog
Apr 9, 2005 · Replies 6 · Apr 9, 2005

Replies: 6

Undergrad Accuracy of f(x) when x is Accurate to 6%”

huan.conchito
Apr 7, 2005 · Replies 5 · Apr 9, 2005

Replies: 5

Graduate Proving Closure of T in B[0,1] Set V

Ed Quanta
Apr 5, 2005 · Replies 4 · Apr 9, 2005

Replies: 4

Graduate Calculating Surface Area & Volume of 3D Function

bomba923
Apr 7, 2005 · Replies 12 · Apr 9, 2005

Replies: 12

Graduate Does the Absolute Value of the Sine Integral Diverge?

sparkster
Apr 9, 2005 · Replies 4 · Apr 9, 2005

Replies: 4

Graduate Convergence/Divergence of Integrals

amcavoy
Apr 8, 2005 · Replies 8 · Apr 9, 2005

Replies: 8

Undergrad Max/Min Values for f(x,y,z): Lagrange Multipliers

PhysicsMajor
Apr 9, 2005 · Replies 2 · Apr 9, 2005

Replies: 2

Graduate Calculating Volume Using Triangular Slices in 3D Coordinate System

bomba923
Apr 7, 2005 · Replies 6 · Apr 8, 2005

Replies: 6

Undergrad Find a vector c that bisects the angle

particleaccelerater
Apr 8, 2005 · Replies 3 · Apr 8, 2005

Replies: 3

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.

Hot Threads

M
Undergrad Why ##a^0=1##?
- Started by Mike_bb
- Apr 10, 2026
- Replies: 85
- Calculus
Undergrad Finding the minimum distance between two curves
- Started by Charles Link
- Mar 28, 2026
- Replies: 35
- Calculus
J
High School Arc Length for Hyperbolic Sin
- Started by JCMateri
- Feb 15, 2026
- Replies: 6
- Calculus
M
Undergrad Why is ##x=e^y## the inverse of ##y=\int_1^x \frac{1}{t} dt##?
- Started by Mike_bb
- Jun 24, 2026
- Replies: 43
- Calculus
Undergrad Best way to numerically solve this system of equations?
- Started by Ax_xiom
- Jul 9, 2026
- Replies: 19
- Calculus

Top