Calculus Forum

Solving $\sum_{m=1}^{6}\csc \theta$ for $\theta$

Undergrad Lim x→inf text book example confusing step

Opinion Needed: Is Student's Solution Around x=2 Correct?

Graduate How to Verify the Equation: pi^2/8 = Sum (1/(2n+1)^2) without Prefix?

Graduate Finding Surface for Complex ParametricPlot3D

Graduate Finding the curl in diffrent coordinates by transforming variables

Graduate Tangent vector to a parametric curve

Graduate How a vol. integral becomes a vol. integral plus surface integral

Undergrad Difference between lim as x→∞ and lim as |x|→∞

Graduate Non-rotating vector fields with non-zero Curl

Graduate Universal Law of Gravitation described by complex functions

Undergrad Recurrence Relation - limit of a sequence

Undergrad Zeros of f(x) vs. Zeros of f'(x)

Graduate Power Series Expansion: Find Alternatives to Ʃ ((-1)^(i-1))/i

Undergrad Is it possible to define this explicitly?

Undergrad U-substitution for Area of a SemiCircle

Graduate How was (-1, 2/π) found to be a solution for the Putnam Calculus problem A3?

Undergrad How Does the Standard Equation Define a Cylinder?

How Do You Apply the Quotient Rule with Square Roots?

Graduate Chain rule with partial derivatives and divergence

Undergrad What is the integration step used for quadratic factors in the denominator?

Undergrad Does changing the summation index change the series?

Undergrad Why does vdv/dx equal 1/2(dv²/dx)?

Graduate Questions involving differentials (again)

Undergrad Applications of Calculus and Numerical Methods

Graduate NDSolve problems in Mathematica (differential equations)

Formalizing Understanding of Relationships between f(x), f'(x) and f''(x)

Undergrad Double Integrals - application to centre of mass.

Graduate Discretization of the divergence operator

Undergrad Why must dv include dx in integration by parts?

High School What is the purpose of integration?

Undergrad Why does the logarithm derivative proof work for ln x but not log_b x?

High School What Is an Integral in Simple Terms?

Decimal expansion to rational number

Undergrad Why Does the Area Between Curves in Terms of y Seem Negative?

Graduate Understanding Derivative and Integral Notation in Partial Differentiation

High School Why can't I cancel common factors in a rational function's domain?

Undergrad Does f'(x) approach 0 if f(x) approaches 0 as x goes to infinity?

Undergrad Why do matching higher derivatives improve Taylor approximations?

Undergrad Does third derivative verify if we have a point of inflection?

Graduate Intersection of concave functions

Graduate Are vector and tensor transformations products of Jacobian matrices?

Undergrad For each real number x, let f(x) be the minimum of the numbers 4x+1,

Undergrad Can t^2/U approach 0 when t/U approaches 0?

Graduate Why is the Hessian matrix positive definite for least squares?

Graduate Fourier transform of a supergausian

Relationship obtaining between various derivatives

Graduate Distance for MD88 nosewheel to align main gear with taxi centerline

Graduate Closed form for recursive sum σ(k) = 1 + Σ C(k,l)σ(l)

Undergrad Intuition behind Integration by parts

Is my solution for finding the values of t where h is equal to 1.5 correct?

Chain rule with e^(u) and why v'=e^u

Undergrad Under which circumstances would sigma summation be used instead of integration?

Graduate Negative areas in polar coordinate integrals

Undergrad Why Doesn't My Fourier Series Expansion Look Like a Square Wave?

Graduate Prove the vector area formula using line and surface integrals

Graduate Derivative of integral of function with respect to the function

Undergrad Finding volume with polar coordinate.

High School Intuition for arc length, angle and radius formula

Undergrad How to calculate the height of a parabola, given base width and arc length?

High School Does the sequence (-1)^n converge or diverge?

Graduate What are the requirements for SVD to work?

Graduate How to derive nth derivative of x(t), when nth derivative of t(x) is known?

Graduate Engineer stumped by pure math, need to find some way to get started

Undergrad Understanding Calculus Theorems for Limits

Undergrad Understanding Integration by Parts

Graduate Is the Limit of (1 + 1/b)^b as b Approaches Infinity Equal to e?

Graduate Solving Line Integrals with Vector Cross Products

Balance After 5 Years of Compound Interest on Monthly Deposits

Undergrad In integrating to find a volume when is the function included?

Graduate From Gaussian Quadrature to Chebyshev Quadrature

Undergrad Converting an Integral to a Rieman Sum

Undergrad What does the Interval of Convergence for a power series tell me?

Undergrad Minimum distance between a point and a geometric locus

Chain rule problem and choice of notation

Graduate Why are non-intersecting branch cuts necessary for multiple-valued functions?

Graduate Line integral of non-exact form over piecewise smooth curve |x|+|y|=4

Integral: For any natural number , evaluate

Graduate How to prove that f(x,y) is complex

Having a problem working through an equation

Undergrad Difference between differentiating a function and an equation

How can I find the derivative of ln(sin5x)?

Graduate Is the Cancellation of Differentials Valid in Calculating Inductor Energy?

Graduate How Does Modifying Parameters Affect Convolution and Fourier Transforms?

Graduate Approximating the Sum of Log Squared Terms for Large n?

Graduate Primitives, Proof based on theorems for differentiation

Undergrad Derivative of (2/x) + (1/y) = 4 and

Undergrad Solving dr²cos²t/dt = r sin t for amplitude

Undergrad Right Triangle Maximization Problem

Undergrad Can I get the differential out of the integration

Undergrad How does excel calculate the best fit line?

Graduate Complex integral coming from a 1loop diagram

Graduate Regarding Upper and lower integral sets.

Graduate Differentiating y=x^x: Acceptable Method?

Undergrad Spotting trig identities to simplify ∫sqrt(1−cos(t))dt

Is the Chain Rule Necessary for Derivatives of f(x) = 1/(x√(5-2x))?

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Undergrad Indefinite Integration of function's like log(cos(x))?

Graduate Complicated Interpolation (Multivalued)

Graduate Inverse Fourier Transform in 2-d