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 What Comes After Vector Calculus in Pure Calculus?

inversquare
May 6, 2015 · Replies 21 · May 20, 2015

Replies: 21

Undergrad How to cancel factorials in power series problems?

shanepitts
May 19, 2015 · Replies 4 · May 20, 2015

Replies: 4

Graduate How is the Fundamental Theorem of Calculus Applied to Multivariable Functions?

CSteiner
May 19, 2015 · Replies 2 · May 19, 2015

Replies: 2

Graduate Analytic continuation and physics

kochanskij
May 10, 2015 · Replies 3 · May 18, 2015

Replies: 3

Undergrad Calc I: Limits at Infinity: Solving r Irrational

PFuser1232
May 18, 2015 · Replies 4 · May 18, 2015

Replies: 4

Undergrad How to determine inner and outer radii for 'Washer Method'?

emergentecon
May 18, 2015 · Replies 7 · May 18, 2015

Replies: 7

Graduate Question about some general potential form

LagrangeEuler
May 14, 2015 · Replies 3 · May 18, 2015

Replies: 3

Undergrad What's Wrong with My Integration by Parts?

QuickQThrowaway
May 17, 2015 · Replies 2 · May 17, 2015

Replies: 2

Graduate Difference between continuity and uniform continuity

Yunjia
May 7, 2015 · Replies 12 · May 17, 2015

Replies: 12

Undergrad I found a really weird function

Chuckstabler
May 2, 2015 · Replies 5 · May 15, 2015

Replies: 5

Undergrad Convergence or Divergence of Factorial Series

Christian M.
Apr 26, 2015 · Replies 6 · May 14, 2015

Replies: 6

Graduate Is it possible to re-write this expression?

Xyius
May 14, 2015 · Replies 1 · May 14, 2015

Replies: 1

Graduate Doubt in Partial derivative of complex variables

smart_worker
May 14, 2015 · Replies 5 · May 14, 2015

Replies: 5

Undergrad Can the Integral of an Area Equation Solve for Volume?

Bendelson
May 4, 2015 · Replies 6 · May 14, 2015

Replies: 6

High School Mathematica and Infinite Series Convergence Tests

zk3381
May 9, 2015 · Replies 2 · May 14, 2015

Replies: 2

Integrating $\cos(mx)$ with Two Variables

thereidisanceman
May 13, 2015 · Replies 1 · May 13, 2015

Replies: 1

Solving Limit of Question with Given Solution -3/2

seal308
May 13, 2015 · Replies 7 · May 13, 2015

Replies: 7

Graduate Positive integral for two functions

ChrisVer
May 13, 2015 · Replies 4 · May 13, 2015

Replies: 4

Partial derivatives of the natural logs

claratanone
May 13, 2015 · Replies 1 · May 13, 2015

Replies: 1

Graduate Are These Triple Integrals Set Up Correctly?

Sociomath
May 11, 2015 · Replies 3 · May 13, 2015

Replies: 3

Graduate Standard notation for "open integral"

qu_bio
May 13, 2015 · Replies 3 · May 13, 2015

Replies: 3

Graduate Understanding the Relationship Between Integration and Anti-differentiation

Muthumanimaran
May 13, 2015 · Replies 1 · May 13, 2015

Replies: 1

Graduate Solve ∫xp e-x2 eix dx | Get Hints for Integration

Ananthan9470
May 11, 2015 · Replies 4 · May 12, 2015

Replies: 4

Graduate How to compute the surface height based on normal vectors

dilloncyh
May 12, 2015 · Replies 1 · May 12, 2015

Replies: 1

Undergrad What is the Correct Integral of Inverse Cosecant?

Euler2718
May 10, 2015 · Replies 8 · May 12, 2015

Replies: 8

Find Difference Quotient & Evaluate/Approximate Limits

Jaclbl
May 11, 2015 · Replies 4 · May 11, 2015

Replies: 4

Integrating (triple) over spherical coordinates

MorallyObtuse
May 11, 2015 · Replies 2 · May 11, 2015

Replies: 2

Limit of (3/4)^(n+1) as n approaches infinity

seal308
May 11, 2015 · Replies 8 · May 11, 2015

Replies: 8

Graduate Functional Derivative: Evaluating & Understanding

aaaa202
May 9, 2015 · Replies 1 · May 11, 2015

Replies: 1

Undergrad Triple integral for bounded regions

Sociomath
May 11, 2015 · Replies 2 · May 11, 2015

Replies: 2

How Can I Find the Integral of Arcsec(x)dx Using IBP?

pmg991818
May 10, 2015 · Replies 10 · May 10, 2015

Replies: 10

Graduate How can I solve this tricky integral in my differential equation?

VanHa
May 7, 2015 · Replies 5 · May 9, 2015

Replies: 5

Undergrad Converting a limit to integral form or vice-versa

Raghav Gupta
May 6, 2015 · Replies 15 · May 9, 2015

Replies: 15

Taylor expansion of second order

mathmari
May 7, 2015 · Replies 1 · May 9, 2015

Replies: 1

Undergrad What is done in the second line of the product rule proof?

Muthumanimaran
May 8, 2015 · Replies 4 · May 9, 2015

Replies: 4

How to Convert Polar to Rectangular Coordinates in Calculus?

karush
May 8, 2015 · Replies 2 · May 8, 2015

Replies: 2

Improper integral convergence/divergence

brunette15
May 5, 2015 · Replies 5 · May 7, 2015

Replies: 5

Graduate Integration Help Needed: How to Solve This Messy Fraction?

basty
May 4, 2015 · Replies 4 · May 6, 2015

Replies: 4

Evaluating Improper Integrals: Convergence or Divergence?

brunette15
May 5, 2015 · Replies 3 · May 6, 2015

Replies: 3

Graduate Divergence Theorem Question (Gauss' Law?)

vector013
May 4, 2015 · Replies 5 · May 5, 2015

Replies: 5

Undergrad What Is the Term for the Slope Transition Point in Calculus?

msell2
May 4, 2015 · Replies 2 · May 4, 2015

Replies: 2

Insights A continuous, nowhere differentiable function: Part 1

jbunniii
May 2, 2015 · Replies 12 · May 3, 2015

Replies: 12

Undergrad Increasing speed, distance, and time.

Mantikore
May 3, 2015 · Replies 1 · May 3, 2015

Replies: 1

Finding Two Points in a Convex Set: Help Needed!

reefster98
May 3, 2015 · Replies 2 · May 3, 2015

Replies: 2

Graduate Error estimate for integral of interpolated function

maka89
May 2, 2015 · Replies 2 · May 2, 2015

Replies: 2

Undergrad Eliminate Parameter with Sin and Cos

Mikeylikesit182
May 1, 2015 · Replies 8 · May 2, 2015

Replies: 8

Graduate Functional derivative of normal function

ChrisPhys
Apr 22, 2015 · Replies 6 · Apr 30, 2015

Replies: 6

Limit of (n)^(1/n)/n as n approaches infinity

Dethrone
Apr 26, 2015 · Replies 4 · Apr 30, 2015

Replies: 4

Integrate $\ln(t^2)/t$ with Substitution

karush
Apr 29, 2015 · Replies 5 · Apr 29, 2015

Replies: 5

Undergrad How to integrate 1/(1-A*cosx)^3?

Arash.
Apr 27, 2015 · Replies 8 · Apr 29, 2015

Replies: 8

Undergrad Extracting a constant variable from integral

shanepitts
Apr 28, 2015 · Replies 2 · Apr 28, 2015

Replies: 2

Graduate Why Does My Integral Calculation Differ from the Expected Result?

J_M_R
Apr 28, 2015 · Replies 2 · Apr 28, 2015

Replies: 2

Solve Force Systems II: Derivatives & Reasoning Explained

Drain Brain
Apr 25, 2015 · Replies 4 · Apr 28, 2015

Replies: 4

Undergrad Why Does a Constant Appear Only on One Side in This Differential Equation?

Marcis Rancans
Apr 28, 2015 · Replies 9 · Apr 28, 2015

Replies: 9

How to Use Gauss Chebyshev Formula for Approximating Integrals with n=3?

jiasyuen
Apr 28, 2015 · Replies 2 · Apr 28, 2015

Replies: 2

Graduate Physical insight into integrating a product of two functions

Buddhapus17
Apr 27, 2015 · Replies 3 · Apr 28, 2015

Replies: 3

Undergrad Does integration give area between graph and x axis?

CAH
Apr 27, 2015 · Replies 4 · Apr 27, 2015

Replies: 4

Integration Properties: Get Help with Parts B & C

reefster98
Apr 26, 2015 · Replies 1 · Apr 27, 2015

Replies: 1

How Do Lagrange Multipliers Optimize Ellipsoid Volume?

Dethrone
Apr 26, 2015 · Replies 1 · Apr 27, 2015

Replies: 1

Graduate Calculus of Variations: Δ-Variation vs. δ- Variation

Snoopy'
Apr 26, 2015 · Replies 1 · Apr 26, 2015

Replies: 1

Proof of $\lim_{{n}\to{\infty}}a_n=\lim_{{n}\to{\infty}}b_n$ with $\epsilon-N$

Dethrone
Apr 26, 2015 · Replies 7 · Apr 26, 2015

Replies: 7

How to Prove Limit 2^n/n! Using Epsilon Delta?

Dethrone
Apr 26, 2015 · Replies 4 · Apr 26, 2015

Replies: 4

Undergrad How Do You Determine if a Series Converges Absolutely or Conditionally?

sun1234
Apr 25, 2015 · Replies 5 · Apr 26, 2015

Replies: 5

Why is the summation in the first part from k=0 to n-1?

VikramAhuja
Apr 25, 2015 · Replies 12 · Apr 26, 2015

Replies: 12

Finding the intersection points on the graph y=sinx, y=cosx and y=tanx

Alexander1
Apr 25, 2015 · Replies 4 · Apr 25, 2015

Replies: 4

How Far Does a Bouncing Ball Travel Before Stopping?

Starkiller2301
Apr 24, 2015 · Replies 2 · Apr 25, 2015

Replies: 2

Triple Integral Bounded by Planes

erin
Apr 25, 2015 · Replies 3 · Apr 25, 2015

Replies: 3

Solving: Finding $\frac{dT}{dt}$ for a Swimming Duck

mathmari
Apr 23, 2015 · Replies 8 · Apr 25, 2015

Replies: 8

Solve Upper & Lower Sums: Step-by-Step Guide

reefster98
Apr 25, 2015 · Replies 2 · Apr 25, 2015

Replies: 2

High School Square Root Rules: x^(1/2), abs(x), F(x), & More!

Emmanuel_Euler
Apr 22, 2015 · Replies 9 · Apr 25, 2015

Replies: 9

Graduate Multinomial Expansion: Solve (Σ^m_i x(i) Σ^i_j x(i,j))^n

nikozm
Apr 24, 2015 · Replies 3 · Apr 24, 2015

Replies: 3

What is the directional derivative of F at point P(1,2,1) with given direction?

Drain Brain
Apr 23, 2015 · Replies 8 · Apr 24, 2015

Replies: 8

Undergrad Is differentiation a possible approach?

wirefree
Apr 22, 2015 · Replies 4 · Apr 24, 2015

Replies: 4

Implicit Functions: How Can Derivatives Be Calculated?

mathmari
Apr 23, 2015 · Replies 2 · Apr 24, 2015

Replies: 2

Undergrad Is there a constant that is not a constant?

Shahid Manzar
Apr 19, 2015 · Replies 7 · Apr 23, 2015

Replies: 7

Finding the Sum of a Tricky Series

Pull and Twist
Apr 23, 2015 · Replies 4 · Apr 23, 2015

Replies: 4

High School Question about sine values for angles 0-180

LogarithmLuke
Apr 22, 2015 · Replies 14 · Apr 23, 2015

Replies: 14

Deriving a Vector Expression from Given Direction

Drain Brain
Apr 21, 2015 · Replies 3 · Apr 22, 2015

Replies: 3

Graduate Deriving E(ave)=kT: Is it Correct?

resurgance2001
Apr 21, 2015 · Replies 2 · Apr 21, 2015

Replies: 2

Solving for the components of a force at a given angle on a plane.

mathmari
Feb 25, 2015 · Replies 5 · Apr 21, 2015

Replies: 5

Undergrad What Do Different Types of Integrals Represent in Calculus?

uzman1243
Apr 17, 2015 · Replies 2 · Apr 20, 2015

Replies: 2

Undergrad Question about derivative of an integral

Mr Davis 97
Apr 16, 2015 · Replies 7 · Apr 20, 2015

Replies: 7

Graduate How is Math Applied in Quantum Physics through Standard Normal Distribution?

TimeRip496
Apr 19, 2015 · Replies 2 · Apr 19, 2015

Replies: 2

Graduate Continuity at a point implies continuity in the neighborhood

Happiness
Apr 18, 2015 · Replies 46 · Apr 19, 2015

2

Replies: 46

Graduate Computing an integral -- any method

Karthiksrao
Apr 18, 2015 · Replies 4 · Apr 19, 2015

Replies: 4

Floor Function and Tangent function

anemone
Apr 18, 2015 · Replies 1 · Apr 19, 2015

Replies: 1

Finding a Unit Vector Along $\vec{A}$ - Please Help!

Drain Brain
Apr 19, 2015 · Replies 5 · Apr 19, 2015

Replies: 5

What is the value of the double integral?

erin
Apr 17, 2015 · Replies 8 · Apr 18, 2015

Replies: 8

Undergrad Solve Optimization Problems: Check Solutions

Emmanuel_Euler
Apr 17, 2015 · Replies 4 · Apr 18, 2015

Replies: 4

Undergrad Quick Calculus book uses Δ by itself, ex: (ln(x+Δ)-lnx)/Δ

lonely_nucleus
Apr 17, 2015 · Replies 10 · Apr 18, 2015

Replies: 10

Solve Int. xe^xlnx Difficult Integral

Maged Saeed
Apr 18, 2015 · Replies 1 · Apr 18, 2015

Replies: 1

Integration by Parts with Domain Warning

karush
Apr 17, 2015 · Replies 5 · Apr 18, 2015

Replies: 5

Graduate Refesher Part Duex - Rectangular -> Cylindrical -> Spherical

beer
Apr 12, 2015 · Replies 1 · Apr 17, 2015

Replies: 1

Undergrad What is the integral of e^-(x/2) * sin(a*x) dx?

Emmanuel_Euler
Apr 17, 2015 · Replies 2 · Apr 17, 2015

Replies: 2

Undergrad The first fundamental theorem of calculus

Mr Davis 97
Apr 16, 2015 · Replies 2 · Apr 16, 2015

Replies: 2

Graduate How to evaluate the gamma function for non-integers

David Carroll
Apr 6, 2015 · Replies 17 · Apr 16, 2015

Replies: 17

Graduate Integration and special functions.

Emmanuel_Euler
Apr 14, 2015 · Replies 4 · Apr 16, 2015

Replies: 4

The Calculating $\cos\left({\sin^{-1}\left({2/3}\right)}\right)$

karush
Apr 15, 2015 · Replies 4 · Apr 15, 2015

Replies: 4

Graduate Prove Concept of Limit: n2-1/(n2 + n + 1)→1

vktsn0303
Apr 14, 2015 · Replies 9 · Apr 15, 2015

Replies: 9

Undergrad How to Rotate a Surface Area about the Y-Axis?

Tarpie
Apr 15, 2015 · Replies 1 · Apr 15, 2015

Replies: 1

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