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
Undergrad What is the approximation used here?
  • Unconscious
  • · Replies 3 ·
Replies
3
Integrating a piecewise function?
  • Emma_011
  • · Replies 6 ·
Replies
6
Is f(x)=ln(x)/x Increasing or Decreasing?
  • Emma_011
  • · Replies 1 ·
Replies
1
What is the Minimum Length of AP + PB?
  • Monoxdifly
  • · Replies 6 ·
Replies
6
What Is the Minimum Surface Area for a Cuboid Box with a Square Base?
  • Monoxdifly
  • · Replies 4 ·
Replies
4
Calculate Gaussian Quadrature: x1, x2 & w1, w2
  • mathmari
  • · Replies 12 ·
Replies
12
Undergrad Finding global minima of nth degree polynomials
  • Mayhem
  • · Replies 2 ·
Replies
2
Undergrad The surface area of an oblate ellipsoid
  • Adams2020
  • · Replies 8 ·
Replies
8
High School Infinitely smaller changes in a related rates question
  • NoahsArk
  • · Replies 9 ·
Replies
9
Undergrad No, I didn't notice. Can you show me?
  • john baez
  • · Replies 4 ·
Replies
4
Proving Series Inequality: $\sqrt[3]{\frac{2}{1}}$ to $\frac{1}{8961}$
  • anemone
  • · Replies 1 ·
Replies
1
Undergrad Determine the Transformation from Cylindrical to Rectangular coordinates
  • LagrangeEuler
  • · Replies 5 ·
Replies
5
Using Chain rule to find derivatives....
  • darkknight1
  • · Replies 2 ·
Replies
2
Maximum and minimum of a function
  • anemone
  • · Replies 1 ·
Replies
1
What conditions guarantee convergence of Newton's method for approximating pi/2?
  • mathmari
  • · Replies 10 ·
Replies
10
High School What Are Functions Called That Are Linearly Dependent With Their Derivatives?
  • Gaussian97
  • · Replies 4 ·
Replies
4
Undergrad Multivariable limits - path problem
  • WonderKitten
  • · Replies 3 ·
Replies
3
Calculus 3 Help: Iterated, Double, Triple Integrals & More
  • a0w
  • · Replies 1 ·
Replies
1
High School Is 0,999999.... actually equal to 1?
  • entropy1
  • · Replies 10 ·
Replies
10
Undergrad Representations of a delta function
  • Frabjous
  • · Replies 7 ·
Replies
7
Graduate What is the meaning of ##d\Omega## in solid angle integration?
  • PreposterousUniverse
  • · Replies 3 ·
Replies
3
Calculating Area Under a Curve: Is My Approach Correct?
  • jaychay
  • · Replies 2 ·
Replies
2
-gre.ge.04 intersection of parabola and line
  • karush
  • · Replies 5 ·
Replies
5
Can You Prove This Using Fraction Division?
  • alexliu00
  • · Replies 1 ·
Replies
1
High School Can You Solve This Exercise on Arithmetic-Geometric Series?
  • Purpleshinyrock
  • · Replies 3 ·
Replies
3
[ASK] Seemingly Simple Limit Question but I have no Idea
  • Monoxdifly
  • · Replies 2 ·
Replies
2
[ASK] Limit of Trigonometry Function
  • Monoxdifly
  • · Replies 3 ·
Replies
3
High School How did Cavalieri get his formula for the area underneath a parabola?
  • erocored
  • · Replies 2 ·
Replies
2
Interval of the Riemann integral value
  • goody1
  • · Replies 3 ·
Replies
3
Undergrad Double integrals - do areas cancel?
  • dyn
  • · Replies 24 ·
Replies
24
High School Doubt on the derivation of an equation for a surface integral
  • Hamiltonian
  • · Replies 4 ·
Replies
4
Undergrad How to Differentiate Using the Chain Rule?
  • tomwilliam
  • · Replies 5 ·
Replies
5
Undergrad Derivatives of Standard Functions
  • madness
  • · Replies 17 ·
Replies
17
Undergrad Divergence & Curl -- Is multiplication by a partial derivative operator allowed?
  • Fascheue
  • · Replies 6 ·
Replies
6
High School Why does f = g in implicit equations?
  • etotheipi
  • · Replies 8 ·
Replies
8
Undergrad Treating the Derivative like a Quotient
  • Trying2Learn
  • · Replies 15 ·
Replies
15
Undergrad Approximation of a function with another function
  • umby
  • · Replies 12 ·
Replies
12
High School Basic doubts in vector and multi variable calculus
  • Hamiltonian
  • · Replies 9 ·
Replies
9
Can Integration by Parts Solve This Tricky Question?
  • jaychay
  • · Replies 1 ·
Replies
1
Find the volume by using shell and disk method
  • jaychay
  • · Replies 1 ·
Replies
1
Find the area by using disk method
  • jaychay
  • · Replies 4 ·
Replies
4
Revolving Volume of R on x=3 using Shell Method
  • jaychay
  • · Replies 2 ·
Replies
2
Find the volume by using shell and disk method
  • jaychay
  • · Replies 1 ·
Replies
1
Undergrad Limits of functions and sequences
  • trees and plants
  • · Replies 36 ·
2
Replies
36
Find the volume using shell and disk method
  • jaychay
  • · Replies 3 ·
Replies
3
Can You Help Me Integrate $\sin(u) + u^6$ Correctly?
  • jaychay
  • · Replies 4 ·
Replies
4
High School How to learn differentiation and integration in 14 days?
  • greg_rack
  • · Replies 3 ·
Replies
3
Undergrad Square of a differentiable functional
  • LCSphysicist
  • · Replies 5 ·
Replies
5
High School Volume of paraboloid in a cylinder
  • Hamiltonian
  • · Replies 2 ·
Replies
2
Calculating $$\sum_{0 \le k \le n}(-1)^k k^n \binom{n}{k}$$
  • MountEvariste
  • · Replies 1 ·
Replies
1
Undergrad Infinite series calculation of a potential
  • Vitani1
  • · Replies 2 ·
Replies
2
First, second and third derivatives of a polynomial
  • anemone
  • · Replies 1 ·
Replies
1
High School Confusion on Implicit Differentiation
  • NoahsArk
  • · Replies 16 ·
Replies
16
Undergrad Simplifying limit with Stirling approximation
  • lholmes135
  • · Replies 9 ·
Replies
9
Undergrad Calculus: What is the derivative of ##\phi## at a point?
  • ElieQuebec10
  • · Replies 1 ·
Replies
1
Graduate Derivative of norm of function w.r.t real-part of function
  • SchroedingersLion
  • · Replies 5 ·
Replies
5
Find maximum area of a triangle
  • anemone
  • · Replies 1 ·
Replies
1
Differentiation help (stationary points)
  • Lhh
  • · Replies 3 ·
Replies
3
Undergrad Asymptotes of Rational Functions....
  • fog37
  • · Replies 3 ·
Replies
3
Differentiation Help: Find 2nd Derivative
  • Lhh
  • · Replies 1 ·
Replies
1
Evaluate Integral: Get Help Now!
  • Lhh
  • · Replies 1 ·
Replies
1
Definite integral involving a lot of exponentials.
  • caffeinemachine
  • · Replies 2 ·
Replies
2
How can I find the Cauchy principal value of this integral?
  • Another1
  • · Replies 2 ·
Replies
2
3.3.2 AP Calculus Exam interval from f'(x)
  • karush
  • · Replies 4 ·
Replies
4
How Do You Solve a Geometric Sum with Alternating Signs?
  • Kola Citron
  • · Replies 2 ·
Replies
2
Apc.2.8.1 ap vertical circular cylinder related rates
  • karush
  • · Replies 2 ·
Replies
2
Undergrad Troubleshooting a difficult integral
  • {???}
  • · Replies 6 ·
Replies
6
S8.7.2.1 AP calculus Exam (typo problem)
  • karush
  • · Replies 2 ·
Replies
2
What Is the Value of the Integral $\int_0^1 xe^x \, dx$?
  • karush
  • · Replies 1 ·
Replies
1
2.1.4 AP calc exam graph properties
  • karush
  • · Replies 2 ·
Replies
2
Finding the Area of a Figure Given by an Equation
  • WMDhamnekar
  • · Replies 1 ·
Replies
1
Undergrad Confirming my knowledge on surface integrals
  • Isaac0427
  • · Replies 2 ·
Replies
2
Undergrad Looking for references on this form of a Taylor series
  • Hiero
  • · Replies 3 ·
Replies
3
Graduate How Do You Solve This Alternating Series Involving Logarithms?
  • JHansen
  • · Replies 12 ·
Replies
12
S8.4.2.48 find int given 2 areas
  • karush
  • · Replies 2 ·
Replies
2
Graduate Dirac delta function confusion
  • Antarres
  • · Replies 2 ·
Replies
2
4.2.1 AP calc exam another int with e
  • karush
  • · Replies 5 ·
Replies
5
How to Integrate $\int(e^{t^2}+16)te^{t^2} dt$ Using Substitution?
  • karush
  • · Replies 2 ·
Replies
2
Graduate A question about a complex integral
  • Antarres
  • · Replies 8 ·
Replies
8
Undergrad Show that an expression approaches an integer
  • John Greger
  • · Replies 7 ·
Replies
7
S8.5.1.64 values of m for region
  • karush
  • · Replies 5 ·
Replies
5
High School Orientation of double integrals
  • etotheipi
  • · Replies 13 ·
Replies
13
Evaluate S8.4.3.84 Integral from 1 to 3
  • karush
  • · Replies 3 ·
Replies
3
High School A summation that "feeds back into itself"
  • tovisonnenberg
  • · Replies 1 ·
Replies
1
Undergrad Convergence of sequences of functions with differing domains?
  • Stephen Tashi
  • · Replies 11 ·
Replies
11
S8.2.6.3 differenciate by separation and power rule
  • karush
  • · Replies 2 ·
Replies
2
Can Implicit Differentiation Be Done by Separation of Variables?
  • karush
  • · Replies 2 ·
Replies
2
What is the limit of a complex fraction with L'Hopital's rule?
  • karush
  • · Replies 1 ·
Replies
1
High School A question about one of Archimedes' works
  • murshid_islam
  • · Replies 5 ·
Replies
5
Determine the relative maximum and minimum on the graph
  • jaychay
  • · Replies 5 ·
Replies
5
Calculus airplane related rates problem ( cosine rule)
  • jaychay
  • · Replies 2 ·
Replies
2
High School Proving: 2 is the Limit for x>1
  • Chris Miller
  • · Replies 22 ·
Replies
22
Undergrad A question about a proof of the irrationality of pi
  • murshid_islam
  • · Replies 7 ·
Replies
7
Undergrad Multivariable optimization problem
  • Doc
  • · Replies 6 ·
Replies
6
Related rates calculus problem about water tank
  • jaychay
  • · Replies 2 ·
Replies
2
Graduate Integration of the Maxwell Speed Distribution
  • TeslaPow
  • · Replies 12 ·
Replies
12
How can i integrate this function
  • Another1
  • · Replies 1 ·
Replies
1
Undergrad How Accurate is Propositional Logic in Explaining Multiple Integrals?
  • oliverkahn
  • · Replies 8 ·
Replies
8
Tips for Growing a Healthy Organic Garden
  • Gwapako
  • · Replies 2 ·
Replies
2
Undergrad Why Does the Partial Derivative of a Sum Cancel Out?
  • Ryan187
  • · Replies 14 ·
Replies
14