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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.
Undergrad Can a function inside the integral be erased?
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High School Having trouble deriving the volume of an elliptical ring toroid
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High School Question about volume of a sphere
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Undergrad Determination of error in interpolating polynomial
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Undergrad Definite integral is undefined and not undefined
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High School Calculating shaded area: I'm getting discrepancies between methods
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Undergrad What's my mistake in this integration problem?
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Undergrad How do I format equations correctly? (Curl, etc.)
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Graduate Is the functional derivative a function or a functional
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Undergrad Why Does an Integrand Equaling Zero at x=1 Not Determine the Integral's Value?
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Undergrad Help please integrating this function over a rectangular area
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Undergrad Integration with different infinitesimal intervals
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Undergrad Continuity of Mean Value Theorem
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Undergrad Finding position vector in general local basis
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Undergrad Inner product vs dot/scalar product
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Undergrad The Vector Laplacian: Understanding the Third Term
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Undergrad Integrating a product of exponential and trigonometric functions
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High School How do I invert this exponential function?
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Undergrad Relation Between Beta and Gamma functions
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Undergrad Best way to cut a cake to avoid dryness
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Undergrad How does the ratio test fail and the root test succeed here?
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Undergrad Calculating the change of the volume of a sphere using this integral
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Graduate Definition of first order infinitesimal using equivalence class
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Undergrad Why prove Taylor's theorem with p(x)=q(x)−((b−a)^n/(b−x)^n)q(a)?
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Undergrad Orthogonal Basis of Periodic Functions: Beyond Sines and Cosines
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Undergrad What Are Common Misconceptions About the Dirac Delta Function?
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Graduate Cauchy’s integral theorem and residue theorem, what’s the difference
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Undergrad Dirac delta function integrated on a finite interval
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Graduate Meaning of Gauss' mean value theorem?
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High School Integration by parts of inverse sine, a solved exercise, some doubts...
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Insights Epsilontic – Limits and Continuity
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Undergrad On (real) entire functions and the identity theorem
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Graduate Integration of trigonometric functions
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Undergrad The Euler-Lagrange equation and the Beltrami identity
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Undergrad On convolution theorem of Laplace transform: Schiff
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High School Integral of cosecant function: understanding different approaches
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Graduate Is the following sum a part of any known generalized function?
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MHB Closed form solution to sum of sine positive zero-crossings
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Undergrad How is the derivative of an inexact differential defined?
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Graduate Is the Gamma Function of Negative Integers Defined?
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Graduate Summing over continuum and uncountable numerocities
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Undergrad Relation between change of pressure and temperature in adiabatic process
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High School Trigonometric substitution, a case I'd like to share
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Challenging Integrals in Calculus 1-2: Expand Your Problem-Solving Skills!
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Undergrad Lipschitz continuity of vector-valued function
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High School Integration by Parts, an introduction I get confused with
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Undergrad Result of this integral in large Lambda limit
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Undergrad Finding the derivative of a characteristic function
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Undergrad Questions about these Trigonometry Graphs involving sin() and cos()
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Insights Precalculus, Calculus and Infinitesimals
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Undergrad Taylor series of 1/ln(t+1) at t=0
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Insights What Are Numbers? - Insights for Beginners
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Undergrad Difference between d/dt and d(theta)/dt? Why is it dr or ds/dt?
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Undergrad Is My Calculus of Variations Approach Correct?
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High School Why is this definite integral a single number?
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Undergrad Substitution in a definite integral
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Undergrad Can calculus be used to determine how much total interest I would pay?
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High School I need to check if I am right solving this integral
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Undergrad Tensor Product of Two Hilbert Spaces
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Undergrad Multivariable fundamental calculus theorem in Wald
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Undergrad Taylor expansion of f(x)=arctan(x) at infinity
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High School I don't recognize this limit of Riemann sum
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Undergrad Integration of ##e^{-x^2}## with respect to ##x##
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Undergrad Conservation of Mass for Compressible Flow
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High School Why is the growth of exps & logs so fast & slow, respectively?
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Undergrad Limit as a function, not a value
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Insights The Art of Integration
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Graduate Quadruple Integral in the Lamb Shift
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High School Vertical asymptote with an epsilon-delta proof?
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Undergrad Why Are There Different Forms of the Integration Formula for Cosecant?
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Undergrad Calculate limits as distributions
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Undergrad Why is the integral of ##\arcsin(\sin(x))## so divisive?
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High School Functions which relate to calculus: Questions about Notation
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Insights What Are Infinitesimals – Simple Version
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Graduate Extending reals with logarithm of zero
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High School How can hyperreal numbers make infinitesimals logically sound in calculus?
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Undergrad What is the official name for a Field Series in mathematics/physics?
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Undergrad Find the roots of the quadratic equation by differentiation
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Undergrad Partial derivatives of the function f(x,y)
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Undergrad Resolve the Recursion of Dickson polynomials
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High School Explain Integration to me, please
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Graduate How to Solve This Differential Equation Analytically?
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Graduate Double integral with infinite limits
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Undergrad Negative area above x-axis from integrating x^2?
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Undergrad Integral Bee Preparation -- Trouble with this beautiful integral
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Graduate Varying an action wrt a symmetric and traceless tensor
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High School Easy derivative but with a pesky singularity
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Undergrad Solving the Difficult Integral ##\int_0^{\infty} x^{n+1} e^{-x} \sin(ax) dx##
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Undergrad What Is the Correct Sign for the Quadratic Form in Margenau's Proof?
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Graduate Need help with an integral -- How to integrate velocity squared?
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Graduate Non solvable integral? (dx/dt)^2 dt
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Insights An Overview of Complex Differentiation and Integration
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Undergrad Finding domain when using continuity to evaluate a limit
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High School How Does Setting x=a Identify Minima or Maxima in Circular Equations?
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Undergrad Why Can't the Denominator of a Fraction Be Zero?
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Undergrad Express the limit as a definite integral
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Undergrad Relating integration of forms to Riemann integration
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Undergrad Limit of the product of these two functions
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MHB Evaluate the surface integral $\iint\limits_{\sum}f\cdot d\sigma$
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MHB How to Find the Surface Area of a Pringle Using Double Integration?
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