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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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High School Help with fundamental concept of calculus; limits.

QuantumTheory
Oct 30, 2004 · Replies 9 · Nov 1, 2004

Replies: 9

High School Integrals: Definition, Difference and Meaning

Alkatran
Oct 31, 2004 · Replies 8 · Nov 1, 2004

Replies: 8

Graduate Don't know how to approach this one

Caldus
Oct 24, 2004 · Replies 2 · Oct 31, 2004

Replies: 2

Graduate Solve Integral: x^2[e^(-x^2)] from -∞ to ∞

newton1
Oct 28, 2004 · Replies 9 · Oct 31, 2004

Replies: 9

Graduate Solving Complex Number Equations with e^{\frac{1}{2} i n x}

JasonRox
Oct 30, 2004 · Replies 7 · Oct 31, 2004

Replies: 7

High School Tigonometric Identies problem help

andyc18
Oct 30, 2004 · Replies 4 · Oct 31, 2004

Replies: 4

Graduate Proving limits for converging sequences

Ed Quanta
Oct 23, 2004 · Replies 2 · Oct 30, 2004

Replies: 2

Undergrad Help with Integral: Int(sqrt(a^2sin^2(t)+b^2cos^2(t))dt

SomeRandomGuy
Oct 29, 2004 · Replies 6 · Oct 30, 2004

Replies: 6

Graduate How Do You Calculate the Arc Length of a Complex Curve?

Caldus
Oct 28, 2004 · Replies 14 · Oct 30, 2004

Replies: 14

Undergrad How Do You Integrate 1/x^(1+a)?

john425
Oct 30, 2004 · Replies 4 · Oct 30, 2004

Replies: 4

Graduate What are the Limits for Infinity in Mathematical Indeterminacy?

MSI
Oct 29, 2004 · Replies 5 · Oct 30, 2004

Replies: 5

Undergrad Solving Calculus Problems: A & B Positive Numbers, fPrime & fDoublePrime

BrendanM
Oct 30, 2004 · Replies 4 · Oct 30, 2004

Replies: 4

Undergrad Derivation of tanx: Step-by-Step Guide

Dr-NiKoN
Oct 28, 2004 · Replies 29 · Oct 30, 2004

Replies: 29

Undergrad [Calc2] Question about convergence of series.

gflores
Oct 28, 2004 · Replies 6 · Oct 29, 2004

Replies: 6

Undergrad How are x, y, and z related in their sequences?

footprints
Oct 29, 2004 · Replies 3 · Oct 29, 2004

Replies: 3

Graduate Moment of a probability distribution

dbb04
Oct 27, 2004 · Replies 4 · Oct 29, 2004

Replies: 4

Undergrad Explaining Sin(x+h) = sinxcosh + cosxsinh

dabouncerx24
Oct 28, 2004 · Replies 3 · Oct 29, 2004

Replies: 3

Undergrad Arclength in polar coordinates?

vsage
Oct 28, 2004 · Replies 3 · Oct 29, 2004

Replies: 3

Undergrad What is the last level of calculus?

QuantumTheory
Oct 24, 2004 · Replies 21 · Oct 28, 2004

Replies: 21

Undergrad When Can i apply L'Hopital's rule?

zolit
Oct 20, 2004 · Replies 2 · Oct 28, 2004

Replies: 2

Graduate Continuous Nowhere, Continuous Everywhere: Tricky Function Example [0,1] Domain

Nebula
Oct 26, 2004 · Replies 9 · Oct 28, 2004

Replies: 9

Undergrad Help Solving Two Math Problems - Maths Freak in Need

mathsfreak
Oct 21, 2004 · Replies 2 · Oct 28, 2004

Replies: 2

Undergrad Troubleshooting Limits: How to Solve \frac{0}{0} Error

johnnyICON
Oct 27, 2004 · Replies 20 · Oct 27, 2004

Replies: 20

Undergrad Would the Series Converge if 2 Were Replaced by e?

theraptor
Oct 27, 2004 · Replies 4 · Oct 27, 2004

Replies: 4

Undergrad Isolating Variable L in G = log [ aL (1-e^(-bL) + S e^(-bL)]

amirshi
Oct 20, 2004 · Replies 2 · Oct 27, 2004

Replies: 2

Undergrad What Causes the Discontinuity in Differentiating x^2?

spacetime
Oct 25, 2004 · Replies 22 · Oct 27, 2004

Replies: 22

Undergrad How to Differentiate an Integral with a Variable Upper Limit?

dbb04
Oct 27, 2004 · Replies 2 · Oct 27, 2004

Replies: 2

Undergrad Average Array: Limit of Average Terms?

kishtik
Oct 27, 2004 · Replies 3 · Oct 27, 2004

Replies: 3

Undergrad What is the volume of the resulting solid?

Caldus
Oct 25, 2004 · Replies 12 · Oct 27, 2004

Replies: 12

Graduate Solve Trig Derivative: -8\int sec^3(\theta)+2sec^2(\theta)+sec(\theta)d\theta

tangur
Oct 26, 2004 · Replies 3 · Oct 27, 2004

Replies: 3

Graduate Transforming a Wedge into an Angular Sector

T-O7
Oct 24, 2004 · Replies 4 · Oct 27, 2004

Replies: 4

Undergrad How Does the Sequence Convergence to 1/2 Work?

quasar987
Oct 15, 2004 · Replies 9 · Oct 26, 2004

Replies: 9

Graduate Fourier Transform: Find Without Integration

skan
Oct 26, 2004 · Replies 3 · Oct 26, 2004

Replies: 3

Undergrad Integration & Trig: Get Help Now!

alamin
Oct 25, 2004 · Replies 3 · Oct 26, 2004

Replies: 3

Undergrad Is the Integral of f(t)*cost dt an Odd Function with Limits from -pi/2 to pi/2?

skan
Oct 25, 2004 · Replies 2 · Oct 25, 2004

Replies: 2

Graduate Reciprocal Series of Positive Integer Factors: Convergence & Sum

Kenshin
Oct 18, 2004 · Replies 2 · Oct 25, 2004

Replies: 2

Undergrad Fun Problem: Area of Overlapping circles

relativitydude
Oct 25, 2004 · Replies 2 · Oct 25, 2004

Replies: 2

Undergrad Maximum and Minimum Limits at Infinity Proof?

Nebula
Oct 24, 2004 · Replies 6 · Oct 25, 2004

Replies: 6

Undergrad Question arrising from integration homework (advanced integration i guess?)

teclo
Oct 24, 2004 · Replies 9 · Oct 25, 2004

Replies: 9

High School Graph r(t) = <t^2, cos t, sin t>

crazynut52
Oct 24, 2004 · Replies 10 · Oct 24, 2004

Replies: 10

Undergrad Proving Limits of Series: No Integrals Needed

Ed Quanta
Oct 23, 2004 · Replies 3 · Oct 24, 2004

Replies: 3

Undergrad Calculating Area and Perimeter of Geometric Figures with pi^2 and (pi^2-1)

arivero
Oct 24, 2004 · Replies 3 · Oct 24, 2004

Replies: 3

Undergrad Nth partial sum of a series Σ Ak is Sn = (n-1)/(n+1)

Kenshin
Oct 20, 2004 · Replies 12 · Oct 24, 2004

Replies: 12

Graduate Calculating Area of Hyperbola & Line Region

tangur
Oct 23, 2004 · Replies 6 · Oct 24, 2004

Replies: 6

Undergrad Quick easy question to make sure i got this

Gecko
Oct 22, 2004 · Replies 6 · Oct 24, 2004

Replies: 6

Graduate Uhmwhat is a constant with a verticle slash though it? heh

QuantumTheory
Oct 24, 2004 · Replies 2 · Oct 24, 2004

Replies: 2

High School Where Can I Find and Pronounce Greek Symbols for Equations?

QuantumTheory
Oct 24, 2004 · Replies 2 · Oct 24, 2004

Replies: 2

Undergrad Laplace Transform: Learn How To Solve Problems Quickly

rishid
Oct 23, 2004 · Replies 3 · Oct 24, 2004

Replies: 3

Undergrad Can you prove n+1 ≥ (1+1/n)^n using induction?

quasar987
Oct 16, 2004 · Replies 2 · Oct 23, 2004

Replies: 2

Graduate Cauchy Riemann Conditions Question

Ed Quanta
Oct 15, 2004 · Replies 2 · Oct 23, 2004

Replies: 2

How can I access textbook-style written problems on this forum?

Lawrence Albano
Oct 22, 2004 · Replies 2 · Oct 22, 2004

Replies: 2

Undergrad What Is the General Formula for Summing Series with r^2 and r^3 Terms?

ThomasJoe40
Oct 19, 2004 · Replies 15 · Oct 22, 2004

Replies: 15

I'd like to thank those who take the time to help others on this forum

singleton
Oct 21, 2004 · Replies 5 · Oct 21, 2004

Replies: 5

High School Struggling with Integration? Check Out These Helpful Resources!

gunnar
Oct 14, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Undergrad Integration of a cone to find centre of mass

rainbowGirl
Oct 14, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Graduate Strict local minimizer (multivariate)

cateater2000
Oct 19, 2004 · Replies 4 · Oct 21, 2004

Replies: 4

Undergrad Quick series convergence question

DE7
Oct 20, 2004 · Replies 4 · Oct 21, 2004

Replies: 4

Graduate What is the solution to the infinite lamp game?

Ethereal
Oct 19, 2004 · Replies 9 · Oct 21, 2004

Replies: 9

Undergrad Converting Spherical Equations to Cylindrical and Rectangular

DeadxBunny
Oct 20, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Undergrad Prove that the lim (x->1) x^2 + 2 is NOT equal to 2.999?

bezgin
Oct 19, 2004 · Replies 6 · Oct 21, 2004

Replies: 6

Undergrad Is 8 a Relative Max of F in the Given Domain?

rpc
Oct 13, 2004 · Replies 2 · Oct 21, 2004

Replies: 2

Undergrad Acceleration and Velocity Problem

DeadxBunny
Oct 20, 2004 · Replies 2 · Oct 20, 2004

Replies: 2

Undergrad Analyzing the Relationship Between GPA & TV Hours & Solving Real-World Problems

mkou528
Oct 20, 2004 · Replies 2 · Oct 20, 2004

Replies: 2

Undergrad Identity for tan(x-y) = [tan(x) - tan(y)]/[1-tan(x)tan(y)]

BrendanM
Oct 19, 2004 · Replies 4 · Oct 20, 2004

Replies: 4

Graduate Space Curves -> Unit Tangent Vector and Curvature

DeadxBunny
Oct 20, 2004 · Replies 2 · Oct 20, 2004

Replies: 2

Undergrad Confused about limit of function

semidevil
Oct 18, 2004 · Replies 4 · Oct 20, 2004

Replies: 4

Graduate Exploring the Limit of $\frac{1}{x} \int_0^x (1-tan2t)^{\frac{1}{t}}dt$

tangur
Oct 18, 2004 · Replies 7 · Oct 19, 2004

Replies: 7

Undergrad Exploring the Limit of an Infinity/Infinity Undeterminate Form

quasar987
Oct 16, 2004 · Replies 10 · Oct 18, 2004

Replies: 10

Graduate Uniform Continuity (and Irrationals)

zolit
Oct 11, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Graduate How Is the Tumor Growth Equation Solved Using Separation of Variables?

ninaricci
Oct 11, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Why Is Admitting Mistakes a Sign of Growth?

Motifs
Oct 11, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Undergrad Mastering Partial Fractions for Integrating (x+2)/(x+4)^2

NINHARDCOREFAN
Oct 17, 2004 · Replies 3 · Oct 18, 2004

Replies: 3

Graduate Derivative of U(X(t),t) with respect to t

forget_f1
Oct 10, 2004 · Replies 2 · Oct 18, 2004

Replies: 2

Graduate Find the limit of the sequence

quasar987
Oct 17, 2004 · Replies 2 · Oct 17, 2004

Replies: 2

Undergrad Using e^ix to determine a trig identity

josephcollins
Oct 17, 2004 · Replies 2 · Oct 17, 2004

Replies: 2

Undergrad Solving Sin/sec/tan/csc: -sqrt6/6

sfeld
Oct 15, 2004 · Replies 5 · Oct 16, 2004

Replies: 5

Undergrad Find all real roots of this polynomial

quasar987
Oct 15, 2004 · Replies 14 · Oct 15, 2004

Replies: 14

Graduate "Proof of a Formula for Differentiating x^p with Respect to y

hedlund
Oct 8, 2004 · Replies 2 · Oct 15, 2004

Replies: 2

Undergrad Why Does the First Step in Solving This Sequence Problem Work?

quasar987
Oct 14, 2004 · Replies 7 · Oct 15, 2004

Replies: 7

Graduate Compute Sum of 1/(n^2(2n-1)): Tips & Hints

cateater2000
Oct 14, 2004 · Replies 3 · Oct 15, 2004

Replies: 3

Undergrad How Does Induction Prove the Formula for Terms in a Recurrence Relation?

quasar987
Oct 14, 2004 · Replies 2 · Oct 14, 2004

Replies: 2

Graduate Find accumulation points (real analysis)

quasar987
Oct 13, 2004 · Replies 3 · Oct 14, 2004

Replies: 3

Undergrad How to Find the Volume of a Cone Using Integration?

rainbowGirl
Oct 14, 2004 · Replies 2 · Oct 14, 2004

Replies: 2

Undergrad How to differentiate f(x)=2sin(x)+2x^x?

dbzgtjh
Oct 12, 2004 · Replies 3 · Oct 14, 2004

Replies: 3

Undergrad How to prove there is no limit of cos1/x using theorm of limit

flying2000
Oct 12, 2004 · Replies 9 · Oct 14, 2004

Replies: 9

Undergrad Limit Problems with Trigonometric Functions

Hygelac
Oct 10, 2004 · Replies 21 · Oct 14, 2004

Replies: 21

Undergrad How Should Cable Be Laid to Minimize Costs Across a River?

shreena03
Oct 13, 2004 · Replies 2 · Oct 13, 2004

Replies: 2

Undergrad Are (0,1) and [0,1] equivalent intervals?

tink
Oct 13, 2004 · Replies 5 · Oct 13, 2004

Replies: 5

Graduate Abel's Lemma: Direct and Induction Proof

Integral
Oct 12, 2004 · Replies 2 · Oct 13, 2004

Replies: 2

Undergrad What is the logic behind L'Hopital's Rule?

CartoonKid
Oct 12, 2004 · Replies 4 · Oct 13, 2004

Replies: 4

Undergrad Finding Maximum Area of Inscribed Rectangle in a Triangle Using Differentiation

theCandyman
Oct 12, 2004 · Replies 3 · Oct 12, 2004

Replies: 3

Graduate Optimization Problem: Minimizing an Objective Function with a Constraint

malcolm60
Oct 12, 2004 · Replies 12 · Oct 12, 2004

Replies: 12

Graduate Integrating nested root in denominator

fintian
Oct 5, 2004 · Replies 2 · Oct 12, 2004

Replies: 2

Undergrad Can someone explain mimits and how it relates to the formal limit definition?

mfk_1868
Oct 9, 2004 · Replies 16 · Oct 12, 2004

Replies: 16

Graduate Integrating the ALLEE Effect: ds/dt = -a s ln(bs)

ninaricci
Oct 11, 2004 · Replies 3 · Oct 11, 2004

Replies: 3

Undergrad Adding Trigonometric Functions: Get the Answer Here!

vptran84
Oct 10, 2004 · Replies 4 · Oct 11, 2004

Replies: 4

Undergrad Simple Riemann Sums question with answers not lining up

singleton
Oct 11, 2004 · Replies 3 · Oct 11, 2004

Replies: 3

Undergrad Mean Value Theorem - f(x) = f(a)+(x-a)f'(u)

rhia
Oct 10, 2004 · Replies 8 · Oct 11, 2004

Replies: 8

Undergrad What Mathematical Method Did Feynman Frequently Use?

Saint Medici
Oct 10, 2004 · Replies 7 · Oct 11, 2004

Replies: 7

Undergrad Calculating Moments of Inertia for Arbitrary Sections

cigarette
Oct 11, 2004 · Replies 4 · Oct 11, 2004

Replies: 4

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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