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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 Triple integral and center of mass

physicsss
Apr 1, 2005 · Replies 2 · Apr 8, 2005

Replies: 2

Undergrad Need help to show f(x)=x + cos x has an inverse w/out graph

mmlm01
Apr 8, 2005 · Replies 2 · Apr 8, 2005

Replies: 2

High School Integrate Equation: What's Needed?

One-D
Mar 21, 2005 · Replies 16 · Apr 8, 2005

Replies: 16

Undergrad Does this look right? Cannonball question

mathatesme
Apr 7, 2005 · Replies 4 · Apr 7, 2005

Replies: 4

Undergrad Is My Calculus Answer Correct?

joejo
Apr 7, 2005 · Replies 3 · Apr 7, 2005

Replies: 3

Undergrad How Do You Integrate Using Trigonometric Substitution?

amcavoy
Apr 7, 2005 · Replies 5 · Apr 7, 2005

Replies: 5

Graduate When Will the Population Be a Minimum and the Rate of Change Be a Maximum?

huan.conchito
Apr 6, 2005 · Replies 9 · Apr 7, 2005

Replies: 9

Undergrad Calculating the Derivative of the Inverse Function Using the Chain Rule

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

Replies: 5

Graduate Integrate x^2/Sqrt[1 - x^2] - Solve 0=0

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

Replies: 6

Graduate What is the arg() function in complex analysis?

Peter VDD
Apr 5, 2005 · Replies 8 · Apr 6, 2005

Replies: 8

Undergrad Can You Use Logarithmic Differentiation to Solve for a Base 2 Function?

huan.conchito
Apr 6, 2005 · Replies 8 · Apr 6, 2005

Replies: 8

Undergrad Limit as x approaches 2 from the right

huan.conchito
Apr 6, 2005 · Replies 19 · Apr 6, 2005

Replies: 19

Graduate Solve Convergence of Series Problem: Find Bounds for x_0

quasar987
Apr 4, 2005 · Replies 7 · Apr 6, 2005

Replies: 7

Undergrad Newton's Solution to Zeno's Paradox of the Arrow

danne89
Apr 4, 2005 · Replies 15 · Apr 6, 2005

Replies: 15

Graduate Definitions of Measurable Functions

chingkui
Apr 5, 2005 · Replies 9 · Apr 6, 2005

Replies: 9

Undergrad Integration by parts (i think)

PhysicsMajor
Mar 30, 2005 · Replies 2 · Apr 6, 2005

Replies: 2

Undergrad Calculating Error in Algebraic Approximation: \Delta f(x,y)

whozum
Apr 5, 2005 · Replies 3 · Apr 5, 2005

Replies: 3

Graduate Does R-omega satisfy the first countability axiom?

Euclid
Mar 28, 2005 · Replies 2 · Apr 5, 2005

Replies: 2

Graduate How Does the Strong Triangle Inequality Justify Equal p-adic Balls?

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

Replies: 4

Graduate Lagrange multipliers and triangles

physicsss
Apr 4, 2005 · Replies 2 · Apr 4, 2005

Replies: 2

Undergrad Can I integrate this using only one integration by parts?

bomba923
Apr 2, 2005 · Replies 1 · Apr 4, 2005

Replies: 1

Graduate Can anyone solve integral with variable limits

sid_galt
Apr 1, 2005 · Replies 7 · Apr 4, 2005

Replies: 7

Graduate Uniqueness of cubic interpolating polynomial

meteorologist1
Apr 1, 2005 · Replies 4 · Apr 3, 2005

Replies: 4

Undergrad What the heck does a line integral mean?

karen03grae
Apr 2, 2005 · Replies 5 · Apr 3, 2005

Replies: 5

Graduate Calculating Volume of Cylinder with Double Integrals

Kamataat
Apr 3, 2005 · Replies 2 · Apr 3, 2005

Replies: 2

Undergrad Optimizing Integration: Tips for Faster Calculations

bomba923
Apr 2, 2005 · Replies 4 · Apr 3, 2005

Replies: 4

Undergrad Finding Max/Min Points of f(x,y) in R^2

ArnfinnS
Apr 3, 2005 · Replies 2 · Apr 3, 2005

Replies: 2

Undergrad Coulomb's Law & Gradient Function: Can Anyone Explain?

Pseudo Statistic
Mar 27, 2005 · Replies 2 · Apr 3, 2005

Replies: 2

Undergrad Who else but pf could help me w/this prob.

karen03grae
Mar 4, 2005 · Replies 10 · Apr 2, 2005

Replies: 10

Undergrad Indefinite Integral Help - Sin[x]Cos[x]Cos[x] & e^(Sqrt[x+1])

huan.conchito
Apr 2, 2005 · Replies 5 · Apr 2, 2005

Replies: 5

Graduate Is the Extremal Value Theorem Applicable to a Given Function on a Specific Area?

ArnfinnS
Apr 2, 2005 · Replies 7 · Apr 2, 2005

Replies: 7

Graduate How to Derive the Cosine Power Series Using Euler's Identity?

bomba923
Apr 1, 2005 · Replies 6 · Apr 2, 2005

Replies: 6

Graduate Solve : 9 cosh9y dy = 4 sinh 4x dx

Naeem
Apr 1, 2005 · Replies 3 · Apr 2, 2005

Replies: 3

Graduate Help Me Prove Two Expressions Equal: Can You?

ArnfinnS
Apr 2, 2005 · Replies 5 · Apr 2, 2005

Replies: 5

Undergrad What is the Integral of the Square Root of x^3 - 1?

One-D
Mar 21, 2005 · Replies 16 · Apr 2, 2005

Replies: 16

Graduate Can This Differential Equation Solution Be Simplified Further?

Naeem
Apr 1, 2005 · Replies 4 · Apr 2, 2005

Replies: 4

Undergrad How can I integrate cos(3x)cos(2x) without using tables?

Naeem
Apr 1, 2005 · Replies 7 · Apr 1, 2005

Replies: 7

Graduate Minimize Heating and Cooling Costs w/ Partial Derivatives

GoKings
Apr 1, 2005 · Replies 7 · Apr 1, 2005

Replies: 7

Undergrad What is the Derivative of 1/(x√(x^2-1))?

Naeem
Apr 1, 2005 · Replies 9 · Apr 1, 2005

Replies: 9

Graduate Finding Fourier Series for u(x): Challenges with Integration

sigmund
Apr 1, 2005 · Replies 2 · Apr 1, 2005

Replies: 2

Undergrad Understanding Vector Division in Algebraic Structures

TheDestroyer
Apr 1, 2005 · Replies 12 · Apr 1, 2005

Replies: 12

Undergrad Another convergence/divergence question

philosophking
Mar 29, 2005 · Replies 17 · Apr 1, 2005

Replies: 17

Undergrad Can you rephrase the question? What is e ?

pattiecake
Mar 31, 2005 · Replies 3 · Mar 31, 2005

Replies: 3

High School Displacement Calculation: Speed x Time

PrudensOptimus
Mar 31, 2005 · Replies 14 · Mar 31, 2005

Replies: 14

Graduate Is the Cauchy-Hadamard Theorem Misrepresented on Mathworld?

quasar987
Mar 31, 2005 · Replies 2 · Mar 31, 2005

Replies: 2

Graduate Are there any other ways of parametizing S?

Sneaksuit
Mar 30, 2005 · Replies 7 · Mar 31, 2005

Replies: 7

Undergrad Differential Calculus Problem Help w/ Complex Numbers

alexialight
Mar 31, 2005 · Replies 2 · Mar 31, 2005

Replies: 2

Graduate Integral equation with kernel K(st)

eljose
Mar 24, 2005 · Replies 2 · Mar 31, 2005

Replies: 2

Graduate Why Are the Singular Points z=1/n Isolated in the Function f(z)=1/(sin(pi/z))?

PowerClean
Mar 30, 2005 · Replies 2 · Mar 31, 2005

Replies: 2

Graduate How can you tell if a specific topological space is compact?

PBRMEASAP
Mar 30, 2005 · Replies 5 · Mar 30, 2005

Replies: 5

Graduate A function on a compact set is compact

eddo
Mar 28, 2005 · Replies 8 · Mar 30, 2005

Replies: 8

Graduate What is the asymptotic behavior of S(n) with the Li(x) function?

kleinwolf
Mar 28, 2005 · Replies 3 · Mar 30, 2005

Replies: 3

Undergrad Simplifying a Limit with Factorization | Quick Help for Lim Questions

bayan
Mar 30, 2005 · Replies 9 · Mar 30, 2005

Replies: 9

Undergrad Proving the Limit of (3n)^{\frac{1}{2n}} as n Goes to Infinity

semidevil
Feb 26, 2005 · Replies 7 · Mar 29, 2005

Replies: 7

Graduate Infinitie Series: Converge/Diverge question

trap
Mar 28, 2005 · Replies 4 · Mar 29, 2005

Replies: 4

Graduate Proving the Relationship Between Integrals and Root Pi Using Multiple Integrals

eddo
Mar 25, 2005 · Replies 9 · Mar 29, 2005

Replies: 9

Undergrad Root of a complex number in cartesian

TheDestroyer
Mar 27, 2005 · Replies 15 · Mar 29, 2005

Replies: 15

Undergrad Calculus III: Confused about Critical Points of f(x,y)?

Pengwuino
Mar 28, 2005 · Replies 4 · Mar 29, 2005

Replies: 4

Graduate Integrating $\frac{1}{\sqrt{2\beta x-\alpha x^2}}$

dcppc
Mar 28, 2005 · Replies 11 · Mar 29, 2005

Replies: 11

Undergrad Log n < O(n^ε) for Large n - Simple Function Growth

ti89fr33k
Mar 28, 2005 · Replies 9 · Mar 28, 2005

Replies: 9

Undergrad How to Use LaGrange Multipliers to Find Highest and Lowest Points on an Ellipse?

jemck
Mar 21, 2005 · Replies 2 · Mar 28, 2005

Replies: 2

Graduate Help with numerical integration

Dominguez Scaramanga
Mar 28, 2005 · Replies 10 · Mar 28, 2005

Replies: 10

Undergrad Determining the Solution for d^2r/dt^2 = G*M/r^2 with Constant G and M

dcppc
Mar 25, 2005 · Replies 18 · Mar 27, 2005

Replies: 18

Graduate Does x->infiity (ln |cosx|)/x^2 exist?

flying2000
Mar 25, 2005 · Replies 32 · Mar 27, 2005

2

Replies: 32

Undergrad The integral of (sin 3t)^5 cos t dt

PhysicsMajor
Mar 27, 2005 · Replies 12 · Mar 27, 2005

Replies: 12

Graduate Where does the formula for dtheta in polar coordinates come from?

Moose352
Mar 26, 2005 · Replies 3 · Mar 26, 2005

Replies: 3

Graduate What is the solution to integrating \int\cos^{3/2}x \ dx?

X-43D
Mar 25, 2005 · Replies 4 · Mar 26, 2005

Replies: 4

Graduate Question about weak convergence in Hilbert space

Sardin
Mar 18, 2005 · Replies 2 · Mar 26, 2005

Replies: 2

Undergrad Calculus Boredom: Is It Common in Undergrad Math?

trancefishy
Mar 20, 2005 · Replies 40 · Mar 25, 2005

2

Replies: 40

Undergrad Solving Telescoping Series with n Terms

7C0A0A5
Mar 18, 2005 · Replies 2 · Mar 25, 2005

Replies: 2

Undergrad Help with 0.999...=1 Project - Urgent Assistance Needed

chickenguy
Mar 18, 2005 · Replies 2 · Mar 24, 2005

Replies: 2

High School How Do You Verify This Trigonometric Identity?

InFiNiTeX
Mar 24, 2005 · Replies 13 · Mar 24, 2005

Replies: 13

Graduate Find Mass of Ball B w/ Triple Integrals & Cylindrical Coordinates

physicsss
Mar 24, 2005 · Replies 5 · Mar 24, 2005

Replies: 5

Undergrad Half vs Full Range Fourier Series: Odd & Even Functions

Dyls
Mar 16, 2005 · Replies 2 · Mar 24, 2005

Replies: 2

Graduate Is There a Numerical Method to Calculate the Minimum of a Functional?

eljose
Mar 16, 2005 · Replies 2 · Mar 23, 2005

Replies: 2

Undergrad How do you deal with absolute values in your Integrals?

Shinjo
Mar 17, 2005 · Replies 2 · Mar 23, 2005

Replies: 2

Undergrad Finding limits of integration during a change of variables

Shinjo
Mar 16, 2005 · Replies 2 · Mar 23, 2005

Replies: 2

Graduate Is the Integral of (f(x)-q(g(x)))^2 Greater Than Zero?

mruncleramos
Mar 22, 2005 · Replies 3 · Mar 23, 2005

Replies: 3

Undergrad Area of Sphere Calc: Archimedes Method

mprm86
Mar 15, 2005 · Replies 2 · Mar 22, 2005

Replies: 2

Undergrad Is the Derivative of a Differentiable Function Always Continuous?

brum
Mar 22, 2005 · Replies 2 · Mar 22, 2005

Replies: 2

Graduate Proving Cauchy Sequence Subsequences

clueles
Mar 21, 2005 · Replies 12 · Mar 22, 2005

Replies: 12

Graduate Find Min of f(x,y,z)=x^8+y^8+z^8 on x^4+y^4+z^4=4

jenc305
Mar 15, 2005 · Replies 2 · Mar 22, 2005

Replies: 2

Undergrad What is the Geometric Meaning of Grad f for Functions of Several Variables?

wayneckm
Mar 20, 2005 · Replies 5 · Mar 21, 2005

Replies: 5

Undergrad How Do You Calculate the Average Value of a Function Between Two Points?

ribod
Mar 19, 2005 · Replies 6 · Mar 21, 2005

Replies: 6

Graduate How Does the Riemann Sum Approximate the Limit of an Infinite Sum to Pi/4?

mprm86
Mar 14, 2005 · Replies 2 · Mar 21, 2005

Replies: 2

Undergrad Finding Concavity and Inflection Points of f(t) = 3cos^2(5t) on [-pi/5, pi/5]

smith5029
Mar 13, 2005 · Replies 2 · Mar 21, 2005

Replies: 2

Undergrad What's the Origin of This Integral Inequality?

philosophking
Mar 20, 2005 · Replies 3 · Mar 20, 2005

Replies: 3

Graduate How to Prove Log 2 Using Riemann Sums?

tonix
Mar 18, 2005 · Replies 10 · Mar 20, 2005

Replies: 10

Undergrad Find the area bounded by y^2=x and y=x=2

hytuoc
Mar 18, 2005 · Replies 2 · Mar 20, 2005

Replies: 2

Undergrad What Are the Real-Life Applications of Series and Sequences?

Mitchell
Mar 20, 2005 · Replies 2 · Mar 20, 2005

Replies: 2

Graduate What are the solutions of w=tan z if w doesn't equal +i or -i?

Mark C
Mar 18, 2005 · Replies 7 · Mar 19, 2005

Replies: 7

Undergrad How to Calculate the Partial Derivative of a Function at the Origin?

MaximumTaco
Mar 12, 2005 · Replies 2 · Mar 19, 2005

Replies: 2

Graduate Is the Definition for Fractional Derivative Correct?

eljose
Mar 12, 2005 · Replies 2 · Mar 19, 2005

Replies: 2

Graduate Nonuniqueness of power series expansion

Timbuqtu
Mar 12, 2005 · Replies 2 · Mar 19, 2005

Replies: 2

Undergrad Does the Equation x^2 = xsinx + cosx Have Exactly Two Real Roots?

heman
Mar 7, 2005 · Replies 14 · Mar 18, 2005

Replies: 14

Graduate Finding the Maximum Spread of Rumors Using Differential Equations

Jameson
Mar 16, 2005 · Replies 9 · Mar 18, 2005

Replies: 9

Undergrad Graphes: Increasing/Decreasing, Concave Up/Down, Inflection Points?

sjaguar13
Mar 17, 2005 · Replies 7 · Mar 17, 2005

Replies: 7

Graduate Why is del a Vector? Answers & Explanations

misogynisticfeminist
Mar 16, 2005 · Replies 24 · Mar 17, 2005

Replies: 24

Graduate How to Find Surface Area of Intersecting Cylinders with Different Radii?

dhtjanda
Mar 10, 2005 · Replies 2 · Mar 17, 2005

Replies: 2

Undergrad Y=(x^2) +1 and y = - (x^2)? tangent

swechan02
Mar 16, 2005 · Replies 2 · Mar 17, 2005

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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