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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Undergrad Integration of Rational Functions with Trigonometric Substitutions
- hms.tech
- · Replies 8 ·
Is 1/(1+sinx) + 1/(1-sinx) Equal to 2sec2x?
- chlobuggy
- · Replies 2 ·
Graduate Cauchy Riemann conditions/equation
- MartinV05
- · Replies 2 ·
Why does sin(x) end up in the denominator when differentiating ln(sin(x))?
- DeusAbscondus
- · Replies 6 ·
How is the constant '4' handled in differentiation of $y=4\cos(x^3-2x)$?
- DeusAbscondus
- · Replies 9 ·
Undergrad Why is the Height of Each Cylinder in a Cone dS and not dH?
- dtseng96
- · Replies 5 ·
Undergrad Algorithms for infinite geometric series via long division?
- AdkinsJr
- · Replies 2 ·
Undergrad When plotting graphs in polar coordinates, how does one know when to
- hale2bopp
- · Replies 1 ·
Undergrad Does the fundamental theorem of calculus require the integrand to be independent of x?
- c.teixeira
- · Replies 6 ·
Graduate Why does the sinc function approach zero as the argument approaches infinity?
- McLaren Rulez
- · Replies 4 ·
Graduate No Limit Points in Natural Numbers: Problem with Proof?
- Dschumanji
- · Replies 3 ·
Graduate Fourier Transform and Limit of Euler's Formula
- gordon831
- · Replies 2 ·
Undergrad What is the ε-δ definition of continuity of f(x) at x=0?
- Joydeep B
- · Replies 1 ·
Undergrad Why does d/dx (dy/dx)² give 2(d²y/dx²) and not 2(dy/dx)(d²y/dx²)?
- Mgarrettny
- · Replies 4 ·
Undergrad Why does ∫3/√(x²-4) give different answers?
- Cetullah
- · Replies 3 ·
Graduate Integral want same answer as book
- Steve Drake
- · Replies 6 ·
Graduate How to obtain a 2D-coordinate system from two family of curves?
- mnb96
- · Replies 4 ·
Graduate What Is the Mathematical Substitution Used in This Integral Notation?
- Alesak
- · Replies 1 ·
Undergrad Proof that the area under the curve dh/dt against t = height
- expatiated
- · Replies 1 ·
Undergrad Making Sense of the Chain Rule: Can I Multiply to Find dy/dx?
- Bashyboy
- · Replies 3 ·
Undergrad How Can You Solve the Infinite Series \(\sum_{n=1}^{\infty}\frac{n}{k^{n}}\)?
- YvesSch
- · Replies 2 ·
Graduate Partial Derivatives with Respect To Lines That Are Not In The Direction of Axis
- Byron Chen
- · Replies 3 ·
Graduate Representing real functions as improper integrals with ω(t,x)
- Sigma057
- · Replies 8 ·
Integrating $\frac{1}{x^r-1}$ with r>1
- bincy
- · Replies 5 ·
High School What Does Δy/Δx Represent in Basic Differentiation?
- raeshun
- · Replies 4 ·
Undergrad Deriving the volume and surface area of a cone
- dtseng96
- · Replies 7 ·
High School How can I find the roots of a polynomial like x^3-7x+6?
- Cetullah
- · Replies 7 ·
Undergrad Are All Integrals Solvable by Changing Coordinate Systems?
- hover
- · Replies 3 ·
Graduate How Are Square Roots Defined for Complex Numbers?
- Bacle2
- · Replies 21 ·
Undergrad Two-Path Test: Understanding Variable Function Limits
- assed
- · Replies 3 ·
Undergrad Where is the error in this calculation that gives 1+2+4+8+16+...=-1?
- Routaran
- · Replies 14 ·
Limit of Function w/ 0<q<1: Solved by Bincy
- bincy
- · Replies 2 ·
Undergrad Integral test and ratio test on haromonic series.
- avman
- · Replies 1 ·
Graduate I'm having trouble with an integral for my QM senior thesis
- jmm5872
- · Replies 9 ·
Finding the Metric Tensor for a Flat 2D Plane with Rotated Coordinates
- andrey21
- · Replies 13 ·
Graduate How did Madhava come up with the Arctan series?
- imurme8
- · Replies 4 ·
Graduate Second derivative relationships of substituted varaibles
- PhilDSP
- · Replies 6 ·
Simple limit question in attached pdf
- DeusAbscondus
- · Replies 15 ·
Undergrad Help Understanding Stewart Chain Rule Proof [Picture Provided]
- nickadams
- · Replies 6 ·
Undergrad Is there a way to prove that A(x) is minimum when x=2r?
- Rush123
- · Replies 2 ·
Undergrad Use of a derivative or a gradient to minimize a function
- onako
- · Replies 3 ·
Is the Derivative of f(x)=1/x^3 Correctly Calculated as -3/x^4?
- DeusAbscondus
- · Replies 2 ·
Undergrad What Does the Lower Limit in This Integral Represent?
- femiadeyemi
- · Replies 4 ·
Undergrad Minimizing Sum of Absolute Values
- adoado
- · Replies 33 ·
Undergrad Need a function with a jump discontinuity
- mesa
- · Replies 19 ·
Undergrad Understanding Series Convergence
- BarringtonT
- · Replies 5 ·
Undergrad Approximation of a function in limit of small and large x
- FrankDrebon
- · Replies 4 ·
Undergrad Why convert a function into a power series
- BarringtonT
- · Replies 4 ·
Undergrad Rate at which things appear smaller and establishing a baseline
- LykosPF4
- · Replies 3 ·
Graduate Shortest path to the Calculus of Variations
- GoutamTmv
- · Replies 5 ·
Find Volume of Wine Glass on Side with Solids of Revolution
- Jipsonburger
- · Replies 4 ·
Graduate How to compute the area of a hyperboloid of revolution?
- DaviesX
- · Replies 2 ·
Undergrad Initial velocity for 900-foot projectile launch and restaurant wait time percentile
- andrija
- · Replies 1 ·
Undergrad Does this Divergence Test problem converge?
- flyintiger
- · Replies 4 ·
Undergrad How to calculate the derivative of ln(x) using the limit
- Cristopher
- · Replies 11 ·
Graduate Wikipedia error about the complementary error function?
- AxiomOfChoice
- · Replies 3 ·
Undergrad Not Understanding Derivative Notation
- Gibby_Canes
- · Replies 2 ·
Graduate Difference between small delta t, big delta t, and dt?
- schrodingerscat11
- · Replies 3 ·
Undergrad Chain rule with linear compositions f(x) = abx
- V0ODO0CH1LD
- · Replies 7 ·
Graduate Integration techniques and Cauchy prinicpal value
- Stephen Tashi
- · Replies 2 ·
Undergrad Why does dx/dy differ from dy/dx for inverse functions?
- Scintillation
- · Replies 1 ·
Finding the number of gas molecules with velocity above a given value
- alexmahone
- · Replies 12 ·
Graduate Choosing constants to make integral convergent
- sr3056
- · Replies 5 ·
Undergrad Why does L'Hôpital's rule give different limits for the same function?
- krackers
- · Replies 4 ·
Undergrad Proof for first principle equation in derivatives?
- Swetasuria
- · Replies 8 ·
Undergrad How Is the Operator d/dx Conceptualized in Calculus?
- FlyingPanda
- · Replies 4 ·
Finding sin(α)+cos(β) given cos(α)+cos(β)−cos(α+β)=3/2
- DrunkenOldFool
- · Replies 5 ·
How Do You Integrate 1/(x^2 + 1)^2 Using the Hermite-Ostrogradski Method?
- righteous818
- · Replies 2 ·
Graduate Generating Functions for n+1 Integer Set: Closed Form
- anthony2005
- · Replies 1 ·
Undergrad Why do derivatives and integrals cancel each other?
- krackers
- · Replies 10 ·
Graduate Differentiation of the l1 norm of gradient
- wilsonnl
- · Replies 2 ·
Graduate Lebesgue Measurable but not Borel sets.
- Bacle2
- · Replies 3 ·
Graduate Deducing Maclaurin series converges from Leibniz formula
- sr3056
- · Replies 3 ·
Undergrad How do you find the slope of a line in 3D coordinate system given two points?
- Lizwi
- · Replies 3 ·
Graduate Proving inequality bounds for (1-1/n)^n using logarithmic inequalities
- sr3056
- · Replies 6 ·
Undergrad How can I find the Proper starting point in FindRoot command?
- Mona_r
- · Replies 7 ·
Graduate Find the function for this Taylor series
- arithmetic
- · Replies 14 ·
Graduate Find F(2,4) of Differentiable Function
- antjm
- · Replies 6 ·
Undergrad Why can't you break the limit of x*sin(1/x) into two separate limits?
- krackers
- · Replies 12 ·
Graduate Applying the FTC to an arbitrary solution of the Schrodinger equation
- AxiomOfChoice
- · Replies 2 ·
Is the Integral of 1/sqrt(1-x^4) Expressible in Terms of Elementary Functions?
- juantheron
- · Replies 3 ·
Undergrad Calculate throw angle to have the curve cross a certain point
- kiriri
- · Replies 8 ·
Graduate Chain rule with multiple variables
- Undoubtedly0
- · Replies 6 ·
Undergrad Anyone remember how to solve 0^0?
- kings_gambit
- · Replies 2 ·
Undergrad When can a limit exist at a discontinuity?
- Stu21
- · Replies 1 ·
Integral from negative infinity to infinity
- juantheron
- · Replies 1 ·
Graduate Why Doesn't Stoke's Theorem Require a Simply Connected Manifold?
- Trifis
- · Replies 19 ·
Graduate Proving Global Max/Min for Function w/ 2 Variables: Advice Needed
- porroadventum
- · Replies 5 ·
Graduate Whittaker and Watson examples solutions / hints
- TriggerFish
- · Replies 3 ·
Graduate Integral from Unsolvable Equation
- TheFool
- · Replies 40 ·
Graduate Differential Squared: Do We Always Assume (dx)^2=0?
- learner928
- · Replies 3 ·
Undergrad How does the proof of L'Hopital's rule show that the limit is equal to A?
- modnarandom
- · Replies 1 ·
Undergrad Evaluating limit as h->0 of (e^h-1)/h
- autodidude
- · Replies 8 ·
Graduate Indefinite Integral for -.5*(ln(2))^2
- SumThePrimes
- · Replies 3 ·
Graduate How Does the Tanh(x) Approximation Relate to Small Angles?
- wil3
- · Replies 6 ·
Graduate What is the Ricci tensor and what does it represent mathematically?
- mathsTKK
- · Replies 1 ·
Undergrad Why does lim(h→0)(a^h−1)/h not equal 0/0?
- Bashyboy
- · Replies 6 ·
Graduate Integral with Cauchy Prinicpal value
- M.B.
- · Replies 6 ·
Graduate Integral? Average Velocity of a Spinning Propeller
- jaguar7
- · Replies 7 ·
Graduate Problem with Integrating by parts
- aries0152
- · Replies 3 ·