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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.
MHB Antidifferentiation by Substitution
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I Is this integral using change of variables technique correct?
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I Which of the two answers is correct?
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MHB Integrate by sub
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I How Do You Integrate Expressions Like These?
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MHB How to use change of variables technique here?
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A Curl in cylindrical coordinates -- seeking a deeper understanding
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I Solve for ##n## in ##\frac{1}{(T+\frac{1}{U^{1/n}})^n} = G##
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MHB Multiple Integrals
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MHB *Volume of a cone change of rate of volume with respect to h and r
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I I want to know which software was used to create vector calculus graph
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B Why is Delta y not equal to dy for infinitesimally dx on the graph?
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MHB Find the solution y to the IVP
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B Why do I not understand what seems to be basic Calculus?
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A What will be value of this differential? Kindly help and explain
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A Multiplying divergent integrals using Hardy fields approach
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B Mean-Value Theorem, Taylor's formula, and error estimation
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I Disk, Washer, Shell method
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Insights A Novel Technique of Calculating Unit Hypercube Integrals
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I Calculating the surface area of a sphere using dA
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MHB Integration
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I High schooler Develops new Integration Technique
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B Problem with the concept of differentiation
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A Vector analysis and distributions
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B What is this equation called and why is it regarded as beautiful?
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MHB Maxima and Minima in calculus
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B Why 1 / ∞ = 0 but ∞ * 0 is not equal to 1?
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I Time derivatives in variational calculus
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MHB Find the general solution of
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MHB -s2.9 parabola....vertex, open direction, increasing, decreasing, zeros
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MHB - Length of curve to 4 decimal pl
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MHB -12.5.2 Find Parametric eq for line segment from (-2,18,31) to (11,-4,48)
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MHB How would you approach this integral?
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MHB 1.3 find dx of (7+9x-6\sqrt{x})/x
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B Linearization of a function error viewed with differentials
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I Keisler Elementary Calculus: computing standard parts of expressions
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I Curiosity: there exists the exponential integral?
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B This CAN'T be true (Is my proof that 1=0 correct?)
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MHB Determine the Relationship Between Differentiability and continuity of a function
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Physical interpretation for this? (dynamics of Newton's method)
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A Rayleigh Ritz and inner products
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I Looking for Guarantees that the method of fixed-point iteration will work
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I Sign of an improper integral
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I Approximating discrete sum by integral
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I Mean value theorem - prove inequality
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B Derivative of Square Root of x at 0
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A Prove a formula with Dirac Delta
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B Understanding about Sequences and Series
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I Tax-deferred compounding
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I What Exactly is Step Size in Gradient Descent Method?
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I Absolute difference between increasing sum of squares
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I Explanation and clarifications in epsilon-delta limit proofs
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A Solving an Integral involving a probability density function
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B Intersection of line and curve
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MHB 7.1.17 int e^{-\dfrac{x^2}{2}} dx from 0 to infty
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MHB How would you approach this?
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I Error bounds for Newton's Method
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I What does "the sequence of functions has limit in R" mean?
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MHB 7.2.15 Int of trig in a radical
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MHB I liked the trick to solve this integral.
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A Help with simplifying an integral
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I Limits confusion -- What is meant by "instantaneous rate of change"?
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I A question about limits and infinity
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I Integral of cotx= Ln|sinx|+c
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Finding a vector from the curl of a vector
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MHB 6.2.25 Evaluate Limit of x to infty
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I Definition of a function
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A The ``kinematic equation'' of fluid flows
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MHB I was wondering if there exists a different trick for finding this limit as fast as 2 minutes!
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MHB -1.6.Limit with radicals
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I Inverse Functions
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I Operations on functions
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MHB -6.r.10 evaluate int with u v subst
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MHB -w8.7.28 integral rational expression
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MHB -w8.3.11 int sqrt{x} dx sqrt{1-x}
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MHB 8.2.5.evaluate int 64x sec^2(4x) dx
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B What's the difference between d, d/dx and dx?
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I Definition of order of a partial differential equation
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MHB Calculas Problem- Please Solve Urgent!
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I Why dy/dx is not a ratio?
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B Help Visualizing 3-d Surfaces
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B I want this short proof of the Bolzano-Weierstrass Theorem checked please
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B Another proof of the existence of extreme values on open intervals
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B Proving half of the Heine-Borel theorem
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MHB Please Help! Finding roots of this particular polynomial
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MHB Need help
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MHB Calculus Problem
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I Finding a bound for a fraction
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I Limit of limits of linear combinations of indicator functions
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MHB Multiplicity and set of zeros
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A How to solve this definite integral?
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MHB -w.8.7.16. Trig subst int
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B Wondering if a limit exists or not
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I Understanding a proof of inexistence of max nor min
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I Derivative of F = f(x)/f(x+dx)
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MHB -w 8.7.8 inverse integral
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MHB -11.2 why n-1 on summation
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A To understand the Darboux theorem
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MHB -s8.3.6.46 Find Slant asymptote
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MHB -x4.6 Find extrema f(x, y, z) = x + yz
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Calculus

Calculus is the science of approximating and even computing exactly, measurements of curved things by means of known measurements of straight things.

Slopes of curves are measured in terms of slopes of lines, areas and volumes of curved surfaces like spheres are measured in terms of measurements of planes and simpler curved objects like cylinders and and cones.

Common topics are elementary functions, calculating limits, derivatives and integrals.

Optimization problems and Homework help is available in the homework forums.

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