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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 Help with Complex Limit: s, N → ∞

mmzaj
Jan 10, 2015 · Replies 5 · Jan 18, 2015

Replies: 5

High School Maximizing Success in Calculus 1: Tips and Tricks for Math 220

Drakkith
Jan 15, 2015 · Replies 4 · Jan 17, 2015

Replies: 4

Undergrad Limits, and why they're important

elusiveshame
Nov 7, 2014 · Replies 10 · Jan 17, 2015

Replies: 10

Graduate Solving Removable Singularity in [z^(c-1)]/[exp(z)-1] at z=0

eyesontheball1
Nov 15, 2014 · Replies 4 · Jan 17, 2015

Replies: 4

Undergrad Subtracting the overlap of functions

2thumbsGuy
Nov 26, 2014 · Replies 5 · Jan 17, 2015

Replies: 5

Graduate Gaussian integral w/ imaginary coeff. in the exponential

thoughtgaze
Jan 4, 2015 · Replies 2 · Jan 17, 2015

Replies: 2

Graduate What are the different types of infinity and how do they compare?

Hey Park
Jan 15, 2015 · Replies 14 · Jan 17, 2015

Replies: 14

Undergrad Defining differentitation and integration on functions

Mr Davis 97
Jan 15, 2015 · Replies 5 · Jan 17, 2015

Replies: 5

Undergrad Integral with roots on bottom and top

rasen58
Dec 30, 2014 · Replies 2 · Jan 16, 2015

Replies: 2

Undergrad What is the Taylor Remainder Theorem and How is it Used in Power Series?

member 508213
Jan 16, 2015 · Replies 6 · Jan 16, 2015

Replies: 6

Undergrad Integral of 1/x: Negative x Solution

arpon
Jan 9, 2015 · Replies 4 · Jan 16, 2015

Replies: 4

Undergrad Understanding the Relationship between x and y in a Function

andyrk
Jan 2, 2015 · Replies 3 · Jan 16, 2015

Replies: 3

Integration by Parts for Cosine Squared: Is My Approach Correct?

jamescv31
Jan 15, 2015 · Replies 3 · Jan 15, 2015

Replies: 3

Undergrad Why is the commutative property not true for conditionally convergent series?

member 508213
Jan 14, 2015 · Replies 2 · Jan 15, 2015

Replies: 2

Max or Min curve on a graph question

ai93
Jan 14, 2015 · Replies 3 · Jan 14, 2015

Replies: 3

Graduate Trouble equating two approaches to simple problem (recursion problems?)

Darren73
Jan 13, 2015 · Replies 2 · Jan 14, 2015

Replies: 2

Undergrad Find Help w/ Taylor Series: (y+dy)^0.5

chenrim
Jan 13, 2015 · Replies 5 · Jan 13, 2015

Replies: 5

Graduate Can the Volume of Revolution Be Negative?

sam9734
Jan 10, 2015 · Replies 5 · Jan 13, 2015

Replies: 5

Integrating a Product of Trig Functions

karush
Jan 12, 2015 · Replies 1 · Jan 12, 2015

Replies: 1

Undergrad Does the Limit Comparison Test Require an to Be Greater Than bn?

member 508213
Jan 9, 2015 · Replies 2 · Jan 12, 2015

Replies: 2

Easy Question On Multiple Choice.... Confused

ISITIEIW
Jan 11, 2015 · Replies 1 · Jan 11, 2015

Replies: 1

How Do You Integrate and Simplify Complex Cosine Series?

scottshannon
Jan 11, 2015 · Replies 1 · Jan 11, 2015

Replies: 1

How Do You Solve for C in This Integral Equation?

scottshannon
Jan 11, 2015 · Replies 1 · Jan 11, 2015

Replies: 1

Undergrad Defining & Classifying Turning Points w/Elementary Calculus

Astudious
Jan 11, 2015 · Replies 4 · Jan 11, 2015

Replies: 4

Undergrad Can a Function be Both Even and Odd at the Same Time?

{~}
Jan 9, 2015 · Replies 6 · Jan 11, 2015

Replies: 6

Graduate 3D gradient, X grad Δy/Δx, Z grad Δy/Δz what is Y grad?

Superposed_Cat
Jan 8, 2015 · Replies 22 · Jan 10, 2015

Replies: 22

Undergrad As A approches n, can B ->m & C->o &D->

Pjpic
Jan 10, 2015 · Replies 1 · Jan 10, 2015

Replies: 1

Integration using Beta and Gamma Functions

Amad27
Sep 30, 2014 · Replies 200 · Jan 10, 2015

7

Replies: 200

Integral: $\int \frac{x}{9+x^4}dx$

karush
Jan 9, 2015 · Replies 4 · Jan 9, 2015

Replies: 4

Calculating Harmonics from FFT of sin(x) Function

bugatti79
Jan 9, 2015 · Replies 3 · Jan 9, 2015

Replies: 3

Undergrad Solve Slope Line to y=e^bx: Find b Value

WWGD
Jan 8, 2015 · Replies 4 · Jan 8, 2015

Replies: 4

Which is Larger: \(\int_{0}^{\pi} e^{\sin^2 x}\,dx\) or \(\frac{3\pi}{2}\)?

anemone
Jan 8, 2015 · Replies 3 · Jan 8, 2015

Replies: 3

Undergrad Integrate f(t) from 0 to 1/n: Explained

electronic engineer
Jan 6, 2015 · Replies 4 · Jan 8, 2015

Replies: 4

Graduate Estimating Remainders for Taylor Series of Sin(x)

member 508213
Jan 7, 2015 · Replies 5 · Jan 8, 2015

Replies: 5

Function if a plane dropping a bomb.

Metalsie
Jan 8, 2015 · Replies 3 · Jan 8, 2015

Replies: 3

What mistake did I make while solving the Ferris wheel trig problem?

NeedHelp27
Jan 8, 2015 · Replies 1 · Jan 8, 2015

Replies: 1

Undergrad Partial Fractions: Why Does (x+1)2(2x+1) Need 3 Terms?

Deep_Thinker97
Jan 6, 2015 · Replies 7 · Jan 7, 2015

Replies: 7

Why Can't the Integral from 1 to x of $\sqrt{1+{t}^{4}}$ be Replaced with x?

karush
Jan 7, 2015 · Replies 1 · Jan 7, 2015

Replies: 1

Replacing Variables in Integration

Amad27
Jan 7, 2015 · Replies 4 · Jan 7, 2015

Replies: 4

Finding Limit using L'Hospital's Rule - Need Help!

Yankel
Jan 7, 2015 · Replies 2 · Jan 7, 2015

Replies: 2

Undergrad Right & Left Hand Limits of (sinx)^tanx: Indeterminate Form 0^0

erisedk
Jan 2, 2015 · Replies 3 · Jan 6, 2015

Replies: 3

Undergrad Help with an equation for a blog post please

Evanish
Jan 5, 2015 · Replies 4 · Jan 6, 2015

Replies: 4

How to prove this integral equation?

Ganesh Ujwal
Jan 6, 2015 · Replies 2 · Jan 6, 2015

Replies: 2

Undergrad Can someone explain this answer "in layman's terms"?

iwantcalculus
Dec 30, 2014 · Replies 4 · Jan 5, 2015

Replies: 4

Integration by Substitution: Solving Integrals with u-Substitution

karush
Jan 5, 2015 · Replies 2 · Jan 5, 2015

Replies: 2

Graduate Double integral in Rectangular coordinates for anything circular

PaultheRiemann
Jan 3, 2015 · Replies 5 · Jan 5, 2015

Replies: 5

Undergrad Distance Traveled: Integral Calc/Line Int?

PFuser1232
Jan 3, 2015 · Replies 3 · Jan 5, 2015

Replies: 3

Undergrad Why are transcendental functions called so?

vktsn0303
Jan 4, 2015 · Replies 2 · Jan 5, 2015

Replies: 2

Undergrad Explaining Differentials: How Were They First Introduced in Calculus?

PFuser1232
Jan 3, 2015 · Replies 4 · Jan 4, 2015

Replies: 4

Proving Parallelism of Vectors with Perpendicularity Constraints

Ganesh Ujwal
Jan 4, 2015 · Replies 1 · Jan 4, 2015

Replies: 1

Limit to Infinity: Is $$\lim_{{x}\to{\infty}} \sqrt{x^2 + 2x + 1} - x = 1?$$

tmt1
Jan 4, 2015 · Replies 1 · Jan 4, 2015

Replies: 1

How to prove this vector equation?

Ganesh Ujwal
Jan 4, 2015 · Replies 1 · Jan 4, 2015

Replies: 1

Three indefinite integrals involving e^x

rainyrainy906
Jan 3, 2015 · Replies 6 · Jan 4, 2015

Replies: 6

Undergrad Proof for Limit Topic Formula: e^[g(x)[f(x)-1]]

Raghav Gupta
Dec 31, 2014 · Replies 12 · Jan 3, 2015

Replies: 12

Graduate Jefimenko's Equations: Integrals & Integration

goran d
Jan 3, 2015 · Replies 1 · Jan 3, 2015

Replies: 1

Undergrad Differential equation solution basic

nanda sinha
Jan 2, 2015 · Replies 1 · Jan 2, 2015

Replies: 1

Undergrad Using Telescoping Property for Summing ∑(2k-1)

unintuit
Jan 2, 2015 · Replies 4 · Jan 2, 2015

Replies: 4

Graduate Calculating Curl Using the Definition: What Am I Doing Wrong?

albsanrom
Dec 24, 2014 · Replies 4 · Jan 2, 2015

Replies: 4

Undergrad What is the Role of J in Complex Numbers and its Use in Electrical Engineering?

cmcraes
Jun 26, 2013 · Replies 22 · Jan 2, 2015

Replies: 22

Undergrad If f = 0, then df/dt=0, but ∂f/∂x≠0

xorg
Jan 1, 2015 · Replies 2 · Jan 1, 2015

Replies: 2

Undergrad Continuity in Integrals and Antiderivatives

andyrk
Dec 31, 2014 · Replies 12 · Jan 1, 2015

Replies: 12

Undergrad Understanding limit of exponents

andyrk
Dec 24, 2014 · Replies 100 · Jan 1, 2015

4

Replies: 100

What Does the Integral of a Child's Growth Rate Represent?

karush
Dec 31, 2014 · Replies 3 · Dec 31, 2014

Replies: 3

Graduate Arc Length: Definite and Indefinite Integration

PFuser1232
Dec 25, 2014 · Replies 11 · Dec 31, 2014

Replies: 11

Undergrad The Difference Between Two Indefinite Integrals

PFuser1232
Dec 30, 2014 · Replies 2 · Dec 30, 2014

Replies: 2

Undergrad Can You Crack This Challenging Indefinite Integral?

GodsmacK
Dec 30, 2014 · Replies 4 · Dec 30, 2014

Replies: 4

How can we determine the set of points at which a function is continuous?

ineedhelpnow
Oct 6, 2014 · Replies 15 · Dec 30, 2014

Replies: 15

Graduate Electric Potential formula derivation?

PWiz
Dec 29, 2014 · Replies 6 · Dec 30, 2014

Replies: 6

What are some recommended books for optimisation?

nacho-man
Dec 29, 2014 · Replies 2 · Dec 29, 2014

Replies: 2

Solving $2^{2^{\sqrt3}}>10$ without a Calculator

maxkor
Dec 28, 2014 · Replies 4 · Dec 28, 2014

Replies: 4

Can the Summation Expression Be Simplified Without Expanding Series?

Dethrone
Dec 27, 2014 · Replies 2 · Dec 28, 2014

Replies: 2

How Can I Use Substitution to Solve This Integral?

karush
Dec 26, 2014 · Replies 1 · Dec 26, 2014

Replies: 1

Graduate Integrability of a differential condition

hrmello
Dec 25, 2014 · Replies 2 · Dec 26, 2014

Replies: 2

High School Why Use Taylor Series Centered at x=a in Solving Differential Equations?

member 508213
Dec 16, 2014 · Replies 8 · Dec 25, 2014

Replies: 8

Undergrad What is a Hyperbolic Trigonometric Function and How is it Derived?

basty
Dec 17, 2014 · Replies 7 · Dec 25, 2014

Replies: 7

Undergrad Surface element -- why parallelograms?

DivergentSpectrum
Dec 19, 2014 · Replies 3 · Dec 25, 2014

Replies: 3

Undergrad What is the derivative of a sexp()

japplepie
Dec 22, 2014 · Replies 8 · Dec 24, 2014

Replies: 8

Graduate Convergence of Integral with Real and Imaginary Parameters

fermi
Dec 23, 2014 · Replies 11 · Dec 24, 2014

Replies: 11

Undergrad What is the Integral of 1/x and its Relationship to ln(x)?

DivergentSpectrum
Dec 20, 2014 · Replies 36 · Dec 23, 2014

2

Replies: 36

Undergrad How can \sqrt x and \log_e x be compared using calculus?

AdityaDev
Dec 21, 2014 · Replies 4 · Dec 22, 2014

Replies: 4

How to Solve a Tough Differential Equation on a Calc I Exam?

Dethrone
Dec 10, 2014 · Replies 4 · Dec 22, 2014

Replies: 4

Undergrad Question about indeterminate form

Maged Saeed
Dec 20, 2014 · Replies 9 · Dec 22, 2014

Replies: 9

Undergrad Why Graphing Tools doesn't represent hole in a graph

22990atinesh
Dec 20, 2014 · Replies 5 · Dec 20, 2014

Replies: 5

Graduate Integrating to get r^2 = l^2 + a^2

Lapidus
Dec 19, 2014 · Replies 3 · Dec 20, 2014

Replies: 3

Sketch Inequality: Region of $(x,y)$ Points

Dethrone
Nov 16, 2014 · Replies 5 · Dec 18, 2014

Replies: 5

Undergrad Differentiating cotx: Help Solving Wrong Answer

wolfspirit
Dec 18, 2014 · Replies 2 · Dec 18, 2014

Replies: 2

Graduate Is the Maclaurin Expansion Valid for Infinite Points?

kidsasd987
Dec 15, 2014 · Replies 4 · Dec 17, 2014

Replies: 4

Calculating a Logarithmic Product Series

karush
Dec 16, 2014 · Replies 2 · Dec 16, 2014

Replies: 2

Graduate The error caused by the lagrange inversion

vvthuy
Oct 23, 2012 · Replies 1 · Dec 16, 2014

Replies: 1

Undergrad Limit Definition of Indefinite Integrals?

hddd123456789
Dec 15, 2014 · Replies 6 · Dec 15, 2014

Replies: 6

Graduate Helmholtz theorem derivation question

DivergentSpectrum
Dec 15, 2014 · Replies 2 · Dec 15, 2014

Replies: 2

Evaluating limit by factorization

Joel Jacon
Dec 15, 2014 · Replies 5 · Dec 15, 2014

Replies: 5

Undergrad Derivative of a fraction and power

Latte'
Dec 15, 2014 · Replies 5 · Dec 15, 2014

Replies: 5

Evaluating the Limit of an Infinite Product

anemone
Nov 19, 2014 · Replies 3 · Dec 15, 2014

Replies: 3

Graduate [Double integral] Area of a triangle

Hatmpatn
Dec 14, 2014 · Replies 1 · Dec 14, 2014

Replies: 1

Graduate Calculating Taylor Series Remainder: Finding an Upper Bound for n

Astudious
Dec 13, 2014 · Replies 4 · Dec 14, 2014

Replies: 4

Graduate Correct terminology for taking differentials?

bcrowell
Dec 7, 2014 · Replies 12 · Dec 14, 2014

Replies: 12

Integral equation by successive approximation

Suvadip
Dec 13, 2014 · Replies 2 · Dec 14, 2014

Replies: 2

Undergrad What is the sum of this infinite series?

jonjacson
Dec 10, 2014 · Replies 41 · Dec 14, 2014

2

Replies: 41

Limit of e to the tangent of x

thereidisanceman
Dec 8, 2014 · Replies 11 · Dec 14, 2014

Replies: 11

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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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