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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.

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Holder's Inequality: Proving (17) is Sufficient

May 22, 2011 · Replies 1 · May 22, 2011

Replies: 1

Views: 3K

Help Solve Math Term Paper Integration Error!

May 21, 2011 · Replies 1 · May 21, 2011

Replies: 1

Views: 2K

Do these 3D vectors intersect at the given points?

May 21, 2011 · Replies 2 · May 21, 2011

Replies: 2

Views: 2K

What is the Radius of Convergence for the Power Series Given?

May 16, 2011 · Replies 5 · May 21, 2011

Replies: 5

Views: 2K

Any approximate analytical solution to this ode?

May 20, 2011 · Replies 3 · May 20, 2011

Replies: 3

Views: 2K

Derivative Existence at Vertical Asymptotes: A Mystery or a Certainty?

May 20, 2011 · Replies 3 · May 20, 2011

Replies: 3

Views: 2K

Can Derivatives Be Defined at Boundary Points?

May 18, 2011 · Replies 7 · May 20, 2011

Replies: 7

Views: 6K

Using Kalman Filter to Estimate Motion of Object Along Line Segment

May 20, 2011 · Replies 1 · May 20, 2011

Replies: 1

Views: 2K

How can the displacement fields be composed to obtain the desired outcome?

May 20, 2011 · Replies 4 · May 20, 2011

Replies: 4

Views: 2K

Proof of lebesuge measurable function

May 17, 2011 · Replies 3 · May 20, 2011

Replies: 3

Views: 2K

In a book I'm reading, it says:If beta is orthogonal to the set A,

May 19, 2011 · Replies 4 · May 20, 2011

Replies: 4

Views: 2K

Volume Slicing: Identifying Annulous Solids of Revolution

May 20, 2011 · Replies 4 · May 20, 2011

Replies: 4

Views: 2K

Laurent expansion of principal root

May 2, 2009 · Replies 4 · May 20, 2011

Replies: 4

Views: 3K

Limits of infinite sums of sequences

Feb 13, 2009 · Replies 6 · May 20, 2011

Replies: 6

Views: 9K

Finding the Radial Velocity Component of a Point P with Given Velocity Vector v

May 19, 2011 · Replies 2 · May 19, 2011

Replies: 2

Views: 4K

Is there any counterexample to this ?

May 19, 2011 · Replies 1 · May 19, 2011

Replies: 1

Views: 2K

Explaining the Context of $\nabla\times A=0$ with a Uniform Y-Component of A

May 18, 2011 · Replies 6 · May 19, 2011

Replies: 6

Views: 3K

How to Solve Nonlinear Equations in Physics?

May 17, 2011 · Replies 2 · May 18, 2011

Replies: 2

Views: 2K

Inverse Hyperbolic Funcs. or Trigonometric Substitution?

May 18, 2011 · Replies 2 · May 18, 2011

Replies: 2

Views: 2K

Inverse function in one dimension

May 17, 2011 · Replies 4 · May 18, 2011

Replies: 4

Views: 2K

Is the graph of f(x)=1/x a closed set?

May 18, 2011 · Replies 4 · May 18, 2011

Replies: 4

Views: 9K

How Can You Differentiate the Minimum of Functions?

Jun 22, 2005 · Replies 3 · May 18, 2011

Replies: 3

Views: 23K

Can a Sequence in R Lack Convergent Subsequences or Target Specific Limits?

May 17, 2011 · Replies 3 · May 18, 2011

Replies: 3

Views: 2K

Proving Vector Calculus Identity Without Introducing Coordinates

May 17, 2011 · Replies 7 · May 17, 2011

Replies: 7

Views: 5K

Simply cannot remember int/diff formulas

May 17, 2011 · Replies 4 · May 17, 2011

Replies: 4

Views: 2K

How Can I Understand the Integration Process of this Fraction?

May 12, 2011 · Replies 12 · May 17, 2011

Replies: 12

Views: 3K

Steepest Descent with constraints

May 14, 2011 · Replies 1 · May 16, 2011

Replies: 1

Views: 4K

Holomorphic functions at stationary points

May 16, 2011 · Replies 3 · May 16, 2011

Replies: 3

Views: 3K

Where is the mistake in this reasoning about differential forms?

May 15, 2011 · Replies 2 · May 16, 2011

Replies: 2

Views: 2K

Show subsets of the plane are open

Jan 22, 2004 · Replies 7 · May 16, 2011

Replies: 7

Views: 9K

Integral and Differential Calculus

May 14, 2011 · Replies 17 · May 15, 2011

Replies: 17

Views: 20K

When integrating by trig substitution why do you use what you use?

May 13, 2011 · Replies 7 · May 14, 2011

Replies: 7

Views: 5K

Please help find a function to approximate the partial sum of this series

May 13, 2011 · Replies 8 · May 14, 2011

Replies: 8

Views: 3K

Proving three 3D points are collinear with Cross Product

May 5, 2011 · Replies 10 · May 14, 2011

Replies: 10

Views: 35K

HelloThe problem isfind the value of [tex]\lambda[/tex] for

May 13, 2011 · Replies 2 · May 13, 2011

Replies: 2

Views: 2K

Understanding Asymptotic Notation (Big Oh & Little Oh)

Apr 18, 2011 · Replies 2 · May 13, 2011

Replies: 2

Views: 3K

So, there is a way to prove it.Thanks, I'll try that!

May 12, 2011 · Replies 1 · May 13, 2011

Replies: 1

Views: 2K

Squeeze Mapping: Transform Circle to Quarter Moon Shape

May 11, 2011 · Replies 5 · May 13, 2011

Replies: 5

Views: 3K

Solving a Laplace Transform Integral

May 10, 2011 · Replies 8 · May 12, 2011

Replies: 8

Views: 3K

Mathematical functions from data sets?

May 12, 2011 · Replies 6 · May 12, 2011

Replies: 6

Views: 3K

Integration by parts, don't quite know how to arrive at the given answer

May 11, 2011 · Replies 4 · May 12, 2011

Replies: 4

Views: 2K

Directional derivatives and non-unit vectors

May 12, 2011 · Replies 3 · May 12, 2011

Replies: 3

Views: 4K

How Does the (ε, δ)-Definition of Limit Apply to lim x->a x^5=a^5?

May 9, 2011 · Replies 4 · May 12, 2011

Replies: 4

Views: 4K

Identity Function: How to Approach It?

May 11, 2011 · Replies 2 · May 12, 2011

Replies: 2

Views: 2K

My teachers say this trick (regularization) is not valid

May 9, 2011 · Replies 4 · May 11, 2011

Replies: 4

Views: 2K

Verify derivative of a dot product.

May 11, 2011 · Replies 4 · May 11, 2011

Replies: 4

Views: 2K

Is every bilinear mapping bounded?

May 10, 2011 · Replies 1 · May 11, 2011

Replies: 1

Views: 2K

What is the correct method for composing Taylor series at a non-zero point?

May 11, 2011 · Replies 1 · May 11, 2011

Replies: 1

Views: 5K

Conformal Mapping: Transform a Circle to a Rectangle

May 10, 2011 · Replies 7 · May 11, 2011

Replies: 7

Views: 3K

How Do You Simplify the Triple Integral of |xyz| Over an Ellipsoid?

May 7, 2005 · Replies 8 · May 10, 2011

Replies: 8

Views: 9K

How Does the Mean Value Theorem Apply to Square Root Functions?

Jan 15, 2007 · Replies 5 · May 10, 2011

Replies: 5

Views: 4K

What Makes Differential Forms Click?

Apr 24, 2011 · Replies 12 · May 10, 2011

Replies: 12

Views: 4K

What is the most effective method for integrating difficult expressions?

May 5, 2011 · Replies 13 · May 10, 2011

Replies: 13

Views: 3K

Derivative of a partial Deriative

May 10, 2011 · Replies 1 · May 10, 2011

Replies: 1

Views: 2K

Simple Forms of Limits: Taking bn or an Common

May 10, 2011 · Replies 1 · May 10, 2011

Replies: 1

Views: 2K

I forgot how I can solve this Like this example:Solve for the

May 10, 2011 · Replies 2 · May 10, 2011

Replies: 2

Views: 2K

Flux of F When DivF=0 in 3D Surfaces

May 10, 2011 · Replies 1 · May 10, 2011

Replies: 1

Views: 2K

In limits, how do you tell immediately if the only way to solve the

May 9, 2011 · Replies 3 · May 9, 2011

Replies: 3

Views: 2K

Need Help with Calculus Project by Monday or I'm Fired!

May 8, 2011 · Replies 8 · May 8, 2011

Replies: 8

Views: 2K

Is f(x) = 1/log|x| Continuous at x=0?

May 8, 2011 · Replies 10 · May 8, 2011

Replies: 10

Views: 7K

Is Analyticity Equivalent to Continuity?

May 8, 2011 · Replies 4 · May 8, 2011

Replies: 4

Views: 13K

Plancherel's Identity proof - justifying order of integration?

May 8, 2011 · Replies 1 · May 8, 2011

Replies: 1

Views: 4K

Integration of (e^x)dx/ (e^(2x) +5e^(x) + 6)

May 1, 2011 · Replies 5 · May 8, 2011

Replies: 5

Views: 6K

Integral equations of convolution type

Mar 13, 2007 · Replies 1 · May 8, 2011

Replies: 1

Views: 4K

Difficulties with Definition of Compact Set

May 7, 2011 · Replies 6 · May 8, 2011

Replies: 6

Views: 3K

How Does the Imaginary Part of a Holomorphic Function Relate to the Real Part?

Mar 30, 2011 · Replies 8 · May 7, 2011

Replies: 8

Views: 4K

Real Analysis Final - Need Advice for Multivariable, Diff Forms, Lebesgue

Apr 30, 2011 · Replies 1 · May 6, 2011

Replies: 1

Views: 2K

Integrating e^x^2: Proof & Explanation

May 5, 2011 · Replies 2 · May 6, 2011

Replies: 2

Views: 5K

Can an Analytic Function in the Whole Plane Take Any Value More Than 3 Times?

May 5, 2011 · Replies 2 · May 6, 2011

Replies: 2

Views: 2K

What Is an Example of Weak but Not Strong Convergence in L²(R)?

May 6, 2011 · Replies 4 · May 6, 2011

Replies: 4

Views: 8K

Solve Limit of Function: Step-by-Step Guide

May 5, 2011 · Replies 1 · May 5, 2011

Replies: 1

Views: 2K

Convolutions of Lebesgue integrable functions

May 4, 2011 · Replies 1 · May 5, 2011

Replies: 1

Views: 3K

Integral of sin^2l(x): Ideas Needed

May 3, 2011 · Replies 10 · May 4, 2011

Replies: 10

Views: 2K

Convergence of Sequence to e and around e

May 4, 2011 · Replies 5 · May 4, 2011

Replies: 5

Views: 2K

Triple Integral Help: Find Mass in Cylindrical Coords

Apr 29, 2011 · Replies 2 · May 4, 2011

Replies: 2

Views: 2K

Infimum and extended real number

May 3, 2011 · Replies 1 · May 3, 2011

Replies: 1

Views: 2K

Inverse of a partial derivative?

May 2, 2011 · Replies 6 · May 3, 2011

Replies: 6

Views: 17K

Definition of the Derivative using delta and epsilon

May 3, 2011 · Replies 2 · May 3, 2011

Replies: 2

Views: 9K

Answer the Confusing Question: Calculate f'(x) at x=2

May 3, 2011 · Replies 2 · May 3, 2011

Replies: 2

Views: 1K

Demonstration analysis and good books?

May 2, 2011 · Replies 1 · May 3, 2011

Replies: 1

Views: 2K

Are these factorial statements accurate?

May 2, 2011 · Replies 3 · May 3, 2011

Replies: 3

Views: 2K

Derivative of Function f with Respect to t

May 2, 2011 · Replies 6 · May 3, 2011

Replies: 6

Views: 2K

Fermat's theorem applied to multivariate functions

May 1, 2011 · Replies 11 · May 2, 2011

Replies: 11

Views: 5K

Is d/dz(Im(f(z))) always equal to Im(f'(z)) for an analytic function f(z)?

May 1, 2011 · Replies 4 · May 2, 2011

Replies: 4

Views: 3K

Can a paraboloid become cone under limiting conditions?

May 1, 2011 · Replies 3 · May 2, 2011

Replies: 3

Views: 3K

Is there more than one meaning of the notation f(x)=[x] ?

May 1, 2011 · Replies 2 · May 2, 2011

Replies: 2

Views: 3K

Which Integrals Are Fun and Special?

Apr 13, 2011 · Replies 22 · May 1, 2011

Replies: 22

Views: 7K

Product Rule vs. Quotient Rule: A Common Mistake in Differentiating Equations

May 1, 2011 · Replies 12 · May 1, 2011

Replies: 12

Views: 5K

Transforming Complex Fourier Series to Real - Help Guide

May 1, 2011 · Replies 1 · May 1, 2011

Replies: 1

Views: 1K

I know that [tex]\sum[/tex] of tan(1/x^2) converges, but why?

Apr 30, 2011 · Replies 5 · Apr 30, 2011

Replies: 5

Views: 2K

Vector laplacian and del squared confusion.

Apr 30, 2011 · Replies 1 · Apr 30, 2011

Replies: 1

Views: 5K

Is there a proof that there is no elementary integral for e^-x^2?

Apr 30, 2011 · Replies 4 · Apr 30, 2011

Replies: 4

Views: 4K

Questions about complex analysis (Cauchy's integral formula and residue theorem)

Apr 27, 2011 · Replies 2 · Apr 30, 2011

Replies: 2

Views: 5K

Changing origin of vector-function-defined surface

Apr 27, 2011 · Replies 1 · Apr 30, 2011

Replies: 1

Views: 2K

Is the Error O(1/n) in Linear Interpolation Correct?

Apr 30, 2011 · Replies 1 · Apr 30, 2011

Replies: 1

Views: 2K

Why is Part A Necessary in the Alternating Series Test?

Apr 28, 2011 · Replies 3 · Apr 30, 2011

Replies: 3

Views: 3K

Why Poles move to LOWER Half Plane

Apr 26, 2011 · Replies 2 · Apr 30, 2011

Replies: 2

Views: 2K

Integrals: Unveiling the Logic Behind "Norm of the Partition

Apr 28, 2011 · Replies 4 · Apr 30, 2011

Replies: 4

Views: 6K

Solving Problem Involving Cross Product

Apr 28, 2011 · Replies 2 · Apr 30, 2011

Replies: 2

Views: 2K

What are the practical applications of Lesbegue integration?

Apr 17, 2011 · Replies 3 · Apr 30, 2011

Replies: 3

Views: 2K

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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