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 Question on basic trig substitution with x = sin theta
- RoboNerd
- · Replies 12 ·
Undergrad Proving the limit of sinx/x as x approaches 0 equals 1
- Terrell
- · Replies 2 ·
Graduate FFT phase result interpretation?
- Gauzi
- · Replies 6 ·
How can I use integration by parts to solve $\displaystyle \int\sin^2(x) \ dx$?
- karush
- · Replies 4 ·
Effie's question via email about a volume by revolution
- Prove It
- · Replies 1 ·
Water draining from a container: relating volume, surface area and time
- Nemo1
- · Replies 14 ·
High School Why do we put the dot multiplication symbol when integrating
- Jatin Kaushal
- · Replies 3 ·
Calculating Straight Line Distance from A to B
- wonder1
- · Replies 3 ·
How Do You Evaluate ∫x²√(1-x²) dx Using Trig Substitution?
- karush
- · Replies 9 ·
Undergrad Question on Calculus of variations formalism
- guitarphysics
- · Replies 2 ·
High School What would the "correct" way of doing this integral be?
- EddiePhys
- · Replies 11 ·
Arc length and volume of revolution for hyperbolic functions
- Nemo1
- · Replies 12 ·
Undergrad Use Rolle's theorem to show repeated root has zero gradient
- Happiness
- · Replies 20 ·
How do I find the integral of x^3/(x^2+4)?
- karush
- · Replies 8 ·
Undergrad If f(c) = f'(c) = 0, is f(x) = (x−c)^m h(x) with m > 1?
- Happiness
- · Replies 3 ·
Undergrad Approximation to sqrt(1+(d^2)/(x^2))
- MOHD ZAKI
- · Replies 3 ·
Undergrad Divergence theorem and closed surfaces
- mr.tea
- · Replies 2 ·
Undergrad Writing sin(3x-x₀) as a Fourier series
- sa1988
- · Replies 5 ·
Do you solve the Riemann sum first then take the limit?
- Nemo1
- · Replies 2 ·
Graduate Does My Understanding of Tensor Calculus and Divergence Look Correct?
- member 428835
- · Replies 4 ·
How Does Changing the Sign of a Constraint Affect Lagrangian Solutions?
- Knore88
- · Replies 19 ·
How to Evaluate the Integral of the Square Root of 9+4x^2?
- karush
- · Replies 12 ·
High School Making a definite integral equal and indefinite integral?
- Saracen Rue
- · Replies 4 ·
Undergrad Evaluating ∫₀^∞ x²/(x⁴+(a²+1/b²)x²+2a²/b²) dx
- jazhemar
- · Replies 2 ·
Undergrad How does the difference quotient drop Δx when taking the limit?
- JR Sauerland
- · Replies 6 ·
Undergrad How to interpret the differential of a function
- Frank Castle
- · Replies 22 ·
Undergrad Differentiability of convolution
- Zafa Pi
- · Replies 4 ·
Undergrad Gradient Derivation: Simplifying Directional Derivatives
- kidsasd987
- · Replies 1 ·
High School Understanding Scalar and Vector Products in Geometric Algebra
- smims
- · Replies 8 ·
High School Why does d/dx(sin(2πfx)) have the factor 2πf?
- lioric
- · Replies 5 ·
Which Z Value Should Be Used for Camera Motion?
- wonder1
- · Replies 6 ·
Using Lagrange multipliers to maximize production xy with cost constraint
- evinda
- · Replies 7 ·
High School Approximating Pi using Newton-Raphson
- whit3r0se-
- · Replies 5 ·
Find the stable equilibrium points
- evinda
- · Replies 8 ·
What is the integral of $\sqrt{x^2-1}$? What is the integral of $\sqrt{x^2-1}$?
- karush
- · Replies 11 ·
Undergrad Regarding Error Bound of Taylor Series
- Aldnoahz
- · Replies 8 ·
What values of m maximize the utility function for a consumer buying two goods?
- Knore88
- · Replies 6 ·
Undergrad Vector Laplacian: Scalar or Vector?
- olgerm
- · Replies 8 ·
Undergrad Why does the sum of natural numbers equal -1/12 in string theory?
- whit3r0se-
- · Replies 2 ·
Graduate Solving polynomial coefficients to minimize square error
- tomizzo
- · Replies 8 ·
Volume of Region Between y=x and y=-x²+2x
- suluclac
- · Replies 4 ·
How Do Constraints Affect Finding Stationary Points and Global Extrema?
- Pulty
- · Replies 17 ·
Undergrad Vector Triple Product Identity and Jacobi Identity for Deriving 4B.10 and 4B.11
- TheCanadian
- · Replies 2 ·
-z.61.W8.6 int sin^2(x)cos^2(x) dx
- karush
- · Replies 6 ·
Undergrad "Hence the partial derivatives ru and rv at P are tangential
- OmegaKV
- · Replies 2 ·
Finding the slope of a line through (2,2) and (6,7)
- suluclac
- · Replies 1 ·
Finding stationary points of f(x,y) = (1/2)x²eʸ - (1/3)x³ - yeᶟʸ
- Pulty
- · Replies 4 ·
Jake's questions about integrations
- Prove It
- · Replies 1 ·
How much work is required to lift a weight to orbit?
- karush
- · Replies 2 ·
Is My Root Test Solution Correct?
- Zoey93
- · Replies 2 ·
Where Does the $\frac{1}{2}$ in Step 3 Come From?
- karush
- · Replies 9 ·
Evaluating Integral with Change of Variables
- karush
- · Replies 5 ·
What is the derivative of the trigonometric integral?
- karush
- · Replies 9 ·
Undergrad Why Does the Gradient Point Towards the Greatest Increase?
- kidsasd987
- · Replies 3 ·
Proving Divergence of \sum\frac{1}{2n+1}
- suluclac
- · Replies 2 ·
Expanding summation notation and finding sums
- karush
- · Replies 2 ·
Undergrad Why use continuity at b to prove uniform continuity on a union of intervals
- Alpharup
- · Replies 33 ·
Integral involving the derivative
- Yankel
- · Replies 5 ·
What Is the Correct Volume of the Region Revolving Around x=1?
- karush
- · Replies 3 ·
Two Similar Limits with Different Results
- Velo
- · Replies 4 ·
Calculating Limits without Cheating or L'Hopital's Rule
- Yankel
- · Replies 5 ·
Undergrad What are the possible y-values for a given x in the overlap of two functions?
- AtlasSniperma
- · Replies 16 ·
Undergrad Is every conservative vector field incompressible?
- Shawn Huetter
- · Replies 9 ·
Undergrad What Test to Show that Inverse Curl Exists?
- greswd
- · Replies 6 ·
How Do You Calculate Volume by Rotating a Region Bounded by Curves?
- karush
- · Replies 9 ·
Am I changing the coordinates well?
- Granger
- · Replies 8 ·
Undergrad Why does [f(b)-f(a)]/(b-a) make sense?
- egio
- · Replies 4 ·
High School Can a function intersect its derivative and integral at the same point?
- Saracen Rue
- · Replies 4 ·
Undergrad Difference between slope with respect to origin and slope at a point
- Mayank Totloor
- · Replies 6 ·
Image of a triangle under the transformation x=2u+v, y=u²-v
- Granger
- · Replies 2 ·
Integrand with Lambert W -function
- Theia
- · Replies 3 ·
How Do You Calculate the Normal Vector of a Sphere in Spherical Coordinates?
- brunette15
- · Replies 3 ·
Is the Limit of x/x! as x Approaches 0 Equal to 0 or Does it Not Exist?
- Prove It
- · Replies 7 ·
Undergrad Chain rule in a multi-variable function
- Ananthan9470
- · Replies 1 ·
Undergrad Integral of third order polynomial exponential
- PHAM Duong Hung
- · Replies 1 ·
From the marginal cost to the total cost.
- Francobati
- · Replies 1 ·
Undergrad Proving limit theorems when limit tends to infinity
- Alpharup
- · Replies 7 ·
Polar coordinates to evaluate double integral
- brunette15
- · Replies 1 ·
Undergrad Lebesgue measure and Fourier theory
- Jianphys17
- · Replies 1 ·
Undergrad Lagrange Multiplier where constraint is a rectangle
- SamitC
- · Replies 4 ·
Undergrad Is my integral integrable using Mathematica or is there a fundamental error?
- EngWiPy
- · Replies 43 ·
Solving the Integral: $\int_{0}^{1}\dfrac{x^4(1-x)^4}{1+x^2}dx$
- Albert1
- · Replies 3 ·
Differentiation with fractions, radicands, and the power chain rule
- SHLOMOLOGIC
- · Replies 7 ·
Undergrad Is there a trick to tell which is the higher curve?
- Alexandra Fabiello
- · Replies 5 ·
Undergrad Calculating Flux through shape on irregular plane in 3-Space
- Dangshnizzle
- · Replies 1 ·
What is the calculation for the height of a high jump on the moon?
- Nemo1
- · Replies 6 ·
Undergrad Ln x as a logarithmic function
- ruivocanadense
- · Replies 17 ·
Undergrad Uniform current in cylinder and straight wire: same field?
- DavideGenoa
- · Replies 6 ·
Undergrad General solution to linear homogeneous 2nd order ODEs
- Frank Castle
- · Replies 8 ·
How to Find the Maximum of the Function f(x)=12x-32+24√(9-3x), for x≤3?
- Albert1
- · Replies 1 ·
A Function's Intervals of Increasing/Decreasing, Extrema and Concavity
- omwattie
- · Replies 25 ·
Undergrad Finding the volume under the curve of a rotated function
- Terrell
- · Replies 8 ·
Maximisation Question: Find Largest Capacity
- Nemo1
- · Replies 6 ·
Undergrad What are the interpretations of Convolution integral?
- henry wang
- · Replies 9 ·
Graduate Mathematics of The Multi Dimensional Universe
- CaptainHawaii
- · Replies 7 ·
Undergrad Question regarding the derivative terminalogy and wording
- Mr Davis 97
- · Replies 1 ·
Surface area of sphere increase at a constant rate
- Nemo1
- · Replies 11 ·
Undergrad How Do You Solve for At Using Subscript Derivative Notation?
- Abdul.119
- · Replies 1 ·
Undergrad Square Root in an alternating power series
- Satirical T-rex
- · Replies 6 ·
S4.6r.11 Solid of revolution about the y axis
- karush
- · Replies 10 ·