Calculus Forum

Post thread
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 threads
Undergrad Mixed approximation vs. full approximation for a power series expansion
Graduate Radius on convergence in the complex plane
  • racland
  • · Replies 6 ·
Replies
6
High School Is f'(2) the Same as f(2)?
  • afcwestwarrior
  • · Replies 5 ·
Replies
5
Graduate Economics Student Seeks Answer: Derivatives Question
  • Jamp
  • · Replies 4 ·
Replies
4
Undergrad Struggling to Evaluate This Double Integral?
  • ChargedTaco
  • · Replies 5 ·
Replies
5
Graduate Testing series with ln's for convergence
  • arunma
  • · Replies 3 ·
Replies
3
Graduate Geometrical interpretation of vector derivative
  • Castilla
  • · Replies 13 ·
Replies
13
Graduate How can I prove that S^{infinity} is contractible?
  • bham10246
  • · Replies 6 ·
Replies
6
Undergrad How to Integrate a Polynomial Under a Square Root?
  • LinearAlgebra
  • · Replies 6 ·
Replies
6
Undergrad Graphing Vector Fields: How to Determine Grid Size and Plot Vectors?
  • LinearAlgebra
  • · Replies 5 ·
Replies
5
High School What Are the Possible Values of r in This Division Equation?
  • kiss89
  • · Replies 6 ·
Replies
6
Undergrad Multi-variable limit using epsilon-delta technique
  • Link-
  • · Replies 2 ·
Replies
2
Undergrad Probability and I have a question about standard deviation.
  • agus
  • · Replies 3 ·
Replies
3
Graduate Integral of G(x,y): dx vs. dy vs. ds
  • LinearAlgebra
  • · Replies 1 ·
Replies
1
Undergrad Understanding the Chain Rule: When to Use and Why
  • LinearAlgebra
  • · Replies 9 ·
Replies
9
Undergrad What Is the Significance of Parametric Equations in Mathematics?
  • LinearAlgebra
  • · Replies 1 ·
Replies
1
Undergrad What is the explanation for the indeterminate form of inf+inf?
  • Born2Perform
  • · Replies 7 ·
Replies
7
Undergrad I don't understand leibniz notation
  • DHS Science
  • · Replies 10 ·
Replies
10
Graduate \int dz G[z,y]^n J[z] [/itex] vs. (\int dz G[z,y] J[z])^n
  • wandering.the.cosmos
  • · Replies 3 ·
Replies
3
High School How to differentiare/integrate e^t and the like .
  • LinearAlgebra
  • · Replies 4 ·
Replies
4
Undergrad Why Isn't the Second Term Included in the Derivative of Cross Products?
  • LinearAlgebra
  • · Replies 6 ·
Replies
6
Undergrad How do I graph an antiderivative?
  • Masakiuma
  • · Replies 1 ·
Replies
1
Undergrad Can Trigonometric Functions Nested Within Other Functions Be Integrated?
  • Orion1
  • · Replies 21 ·
Replies
21
Undergrad How can I simplify this summation?
  • nightcrrawlerr
  • · Replies 54 ·
2
Replies
54
Undergrad Calculating the perimeter of a region using integrals
  • esmeco
  • · Replies 9 ·
Replies
9
Undergrad Lim x→7π/4 of (cosx + sinx)/(cos2x)
  • Rasine
  • · Replies 2 ·
Replies
2
Graduate Two integrals I am trying to solve without closed form antiderivatives
  • Ed Quanta
  • · Replies 3 ·
Replies
3
Graduate What is the easiest way to integrate a simple isothermal equation of state?
  • Peregrine
  • · Replies 2 ·
Replies
2
Undergrad Solving $\frac{1}{\cos(x)-1}dx$ - Any Hints?
  • bolas
  • · Replies 4 ·
Replies
4
Undergrad Integral Help: Van der Waals Equation of State
  • Peregrine
  • · Replies 4 ·
Replies
4
Undergrad Solve Product Rule Problem: f(8)=7, g(8)=5, f'(8)=-4, g'(8)=6
  • Rasine
  • · Replies 4 ·
Replies
4
Undergrad Elementary Problem: Determining the Piecewise Form of a Function
  • auslmar
  • · Replies 3 ·
Replies
3
Graduate What are the key features to look for in an advanced calculus textbook?
  • ayas
  • · Replies 20 ·
Replies
20
Undergrad Can the Chain Rule Be Applied in Reverse for Integrating Functions Like u^n?
  • Izzhov
  • · Replies 2 ·
Replies
2
Undergrad Solving for m and b in a differentiable function at x=2.
  • Rasine
  • · Replies 2 ·
Replies
2
High School How Do You Rationalize the Numerator with Square Roots in Limits?
  • afcwestwarrior
  • · Replies 3 ·
Replies
3
Graduate Symbolic computation of gradient
  • v0id
  • · Replies 2 ·
Replies
2
Graduate Solve Implicit Function Question: Derivatives, Jacobi Matrix, Diff.
  • littleHilbert
  • · Replies 2 ·
Replies
2
Graduate Understanding Lebesgue Measure and Rudin's Principles of Mathematical Analysis
  • r4nd0m
  • · Replies 6 ·
Replies
6
High School How can i sketch the graph of a step function
  • elton_fan
  • · Replies 9 ·
Replies
9
Undergrad Solving Trig Problem: sin^2000(x) + cos^2000(x)=1 - Kirstin
  • kirstin.17
  • · Replies 4 ·
Replies
4
Undergrad Average value of a function question
  • drpizza
  • · Replies 29 ·
Replies
29
Graduate What is the correct derivative of the integral S(from -x to x) e^(-(t)^2) dt?
  • asdifnlg
  • · Replies 6 ·
Replies
6
Undergrad X=r(cos u+i sin u) and y=t(cos v + i sin v)
  • raiders06
  • · Replies 3 ·
Replies
3
Graduate Standard Product Rule: Explained
  • Bazman
  • · Replies 4 ·
Replies
4
Graduate Repeated Integrals: Notation & Symbols
  • Jheriko
  • · Replies 2 ·
Replies
2
Graduate Is This Integration Calculation Correct?
  • Bazman
  • · Replies 1 ·
Replies
1
Undergrad Electric Potential Due to Unevenly Charged Disk - Help/Hints Needed
  • who's_next?
  • · Replies 3 ·
Replies
3
Graduate Help with an integral, yet again.
  • DrKareem
  • · Replies 10 ·
Replies
10
Undergrad What is the Process to Find the Limit at Infinity of (x+(x^2+12x)^1/2)?
  • Rasine
  • · Replies 9 ·
Replies
9
Undergrad If your not the same person..then well someone got the same problem as you =P
  • Kerbox
  • · Replies 7 ·
Replies
7
Graduate Proving a Trigonometric Identity Using Exponential Functions
  • DrKareem
  • · Replies 7 ·
Replies
7
Graduate Efficient Integral Solver for (z-r*x)/[z^2+r^2-2*z*r*x]^(3/2), x)
  • thebuttonfreak
  • · Replies 5 ·
Replies
5
Undergrad Simple Fixed Point Iteration for Root-solving
  • Noesis
  • · Replies 5 ·
Replies
5
Graduate Can the Measure Be Obtained from the Value of an Integral?
  • Kevin_spencer2
  • · Replies 4 ·
Replies
4
Graduate Expressions used in change of variables
  • eccefeles
  • · Replies 2 ·
Replies
2
Undergrad Find g(4): Solving the Limit Equation
  • Rasine
  • · Replies 2 ·
Replies
2
Undergrad Solving Basic Log Question: x^y*|ln(1/x)|^m
  • Bazman
  • · Replies 2 ·
Replies
2
Graduate Does a Chain Rule Exist for Functional Derivatives?
  • shoehorn
  • · Replies 1 ·
Replies
1
High School Is there a number that is exactly one more than its cube?
  • chevyboy86
  • · Replies 3 ·
Replies
3
Undergrad Calculus: Area Under Curve with Infinite Rectangles
  • minase
  • · Replies 6 ·
Replies
6
Graduate Definite integration of f(x)/sqrt(-(x-q1)(x-q2))
  • ianbell
  • · Replies 4 ·
Replies
4
High School Triangle Inequality: What Have I Missed?
  • theperthvan
  • · Replies 14 ·
Replies
14
Undergrad Adding trig functions for positive output
  • Jdo300
  • · Replies 4 ·
Replies
4
Undergrad Given an average cost function, calculate output level
  • 413
  • · Replies 12 ·
Replies
12
High School Trouble Factoring X^4-15X^3+32X+372X-1440)/X^2-X-30
  • MattsAli1108
  • · Replies 6 ·
Replies
6
Undergrad How do I integrate ln(4+y^2)dy at the end of a double integral?
  • dave_western
  • · Replies 8 ·
Replies
8
Undergrad Is tan(3pi\11)+4sin(2pi\11)=sqrt(11) true?
  • ashrafmod
  • · Replies 2 ·
Replies
2
Graduate Does the Infinite Product $\prod_{n=1}^{\infty} (1+ax^n)$ Have a Closed Form?
  • quark80
  • · Replies 13 ·
Replies
13
High School Algebraically determine the max height the snowball reaches
  • lauren
  • · Replies 4 ·
Replies
4
Undergrad Integration Problem: Need Explanation
  • Xaif
  • · Replies 1 ·
Replies
1
Undergrad How to Calculate X and Y Coordinates for Points Every 30 Meters Along a Spiral?
  • Mounty
  • · Replies 10 ·
Replies
10
Undergrad Explaining Integration Concepts: Riemann Sum & Definite Integral
  • kingwinner
  • · Replies 8 ·
Replies
8
Graduate Is this non-integrable function integrable using numerical methods?
  • Severian
  • · Replies 9 ·
Replies
9
Graduate Definite integraton f(x) / sqrt (-x^2-bx-c)
  • ianbell
  • · Replies 2 ·
Replies
2
Undergrad Find Limit of Function: (x^3-1)/(x-1)^1/2 - 0.7
  • Rasine
  • · Replies 6 ·
Replies
6
High School Differentiating with respect to
  • cabellos
  • · Replies 3 ·
Replies
3
Undergrad The Hospital Confusion :smile:
  • eng_pro
  • · Replies 7 ·
Replies
7
Graduate Lebesgue Criterion for Riemann Integrability
  • quasar987
  • · Replies 2 ·
Replies
2
Graduate Integrating with Velocity: A Question of Correctness
  • Fallen Seraph
  • · Replies 2 ·
Replies
2
Undergrad The crescent area created by overlapping circles
  • SimonHollas
  • · Replies 1 ·
Replies
1
Graduate How to define an 'infinite dimensional integral'
  • Kevin_spencer2
  • · Replies 3 ·
Replies
3
Undergrad Meaning of irrational exponent
  • murshid_islam
  • · Replies 16 ·
Replies
16
High School Can Someone Explain How to Differentiate 3x^2 y^2 with Respect to y?
  • cabellos
  • · Replies 5 ·
Replies
5
High School Learning Definite Integrals for BC Calc Course
  • DougD720
  • · Replies 6 ·
Replies
6
Undergrad Fourier series question (Interested Beginner)
  • Bernie bolt
  • · Replies 6 ·
Replies
6
Graduate Curve & Region Terminology Explained
  • Swapnil
  • · Replies 8 ·
Replies
8
Graduate Need to prove that the following integral is positive
  • ardhu
  • · Replies 5 ·
Replies
5
Undergrad Differentiating with respect to time
  • cabellos
  • · Replies 3 ·
Replies
3
Undergrad How to Establish the Inequality xcosx < sinx < x Using the Unit Circle?
  • theperthvan
  • · Replies 2 ·
Replies
2
Graduate Proving a^n/p(n) Tends to Infinity with n
  • dichotomy
  • · Replies 13 ·
Replies
13
High School Does anyone know how charlie (from numbers) was able to determine the
  • baconbits423
  • · Replies 12 ·
Replies
12
Graduate Question on If a set is unbounded, then it cannot be compact
  • Sumanta
  • · Replies 2 ·
Replies
2
Undergrad How to solve an indefinite integral of a differential equation?
  • NEWO
  • · Replies 25 ·
Replies
25
Undergrad Why Include Different Powers in Partial Fraction Expansion?
  • Swapnil
  • · Replies 5 ·
Replies
5
Graduate Contour Integration: Understanding R. Penrose's The Road To Reality
  • springo
  • · Replies 16 ·
Replies
16
Graduate Product Rule & Exterior Derivative: Questions Explored
  • leon1127
  • · Replies 2 ·
Replies
2
Graduate Is 1/x Integrable for f>0 and xf(x) Tending to Zero?
  • Palindrom
  • · Replies 5 ·
Replies
5
Graduate Differentiating/Integrating Equation: Is it Possible?
  • mubashirmansoor
  • · Replies 21 ·
Replies
21
Graduate Is There a Simpler Definition for the Dirac Delta Function?
  • Swapnil
  • · Replies 7 ·
Replies
7
Undergrad Best dimensions for maximum surface area
  • bjgawp
  • · Replies 1 ·
Replies
1