Calculus Forum

Post thread
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.
High School Finding the value of an equation by using its two forms?
  • · Replies 8 ·
Replies
8
Views
1K
MHB 4.2.251 AP Calculus Exam......must be true on the interval 0<x<2
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Fractional Calculus - Variable order derivatives and integrals
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Transformation of vector components
  • · Replies 3 ·
Replies
3
Views
1K
MHB Why is the e in the derivative for related rates?
  • · Replies 2 ·
Replies
2
Views
2K
MHB How to solve for x using 2nd derivative?
  • · Replies 8 ·
Replies
8
Views
1K
High School Critical point of a piecewise function
  • · Replies 8 ·
Replies
8
Views
3K
MHB Evaluate some kind of gamma function
  • · Replies 1 ·
Replies
1
Views
1K
MHB Need Help with Homework Questions? Let Us Assist You!
  • · Replies 21 ·
Replies
21
Views
2K
Undergrad Gradient vectors and level surfaces
  • · Replies 3 ·
Replies
3
Views
2K
MHB 2.4.3 AP Calculus Exam Integration limits
  • · Replies 6 ·
Replies
6
Views
2K
MHB Are $\vec{r}$ and $\frac{d^2\vec{r}}{dt^2}$ Parallel When m+n=1?
  • · Replies 6 ·
Replies
6
Views
1K
MHB How Can I Prove These Vector Calculus Relations?
  • · Replies 5 ·
Replies
5
Views
2K
High School Is Differentiation the Same as Finding the Derivative?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Square root of the delta function
  • · Replies 15 ·
Replies
15
Views
6K
Undergrad Converting a summation into an integration
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Derivative of a definite integral
  • · Replies 28 ·
Replies
28
Views
4K
Undergrad Derivative of a definite integral?
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Equality of integrals VS equality of integrands
  • · Replies 35 ·
2
Replies
35
Views
4K
MHB What Does the Intermediate Value Theorem Guarantee for a Continuous Function?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Can Multivariable Limits Be Simplified Easily?
  • · Replies 5 ·
Replies
5
Views
1K
MHB APC.5.2.01 AP Volume by Rotation
  • · Replies 8 ·
Replies
8
Views
1K
MHB Solve for y: APC.7.3.01 Int Subs
  • · Replies 4 ·
Replies
4
Views
1K
MHB APC.3.1.2 shortest distance between curve and origin
  • · Replies 4 ·
Replies
4
Views
2K
MHB Proving Equation (1): Let r(t) be a Vector in $\mathbb{R^3}$
  • · Replies 2 ·
Replies
2
Views
1K
MHB 4.1.1 AP calculus Exam Int with U substitution
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Partial / Total Derivative, Compositions
  • · Replies 4 ·
Replies
4
Views
3K
MHB How Do First and Second Derivatives Impact Problem Solving?
  • · Replies 6 ·
Replies
6
Views
1K
MHB What is the Volume of a Solid with Squares as Cross Sections?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Linear Approximation: Check Your Answer
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Volume element in Spherical Coordinates
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Help with a 3D Line Integral Problem (segmented line)
  • · Replies 14 ·
Replies
14
Views
2K
MHB Can Improper Integrals Help Solve This Inequality?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Is This Integral Divergent as t Approaches Infinity?
  • · Replies 18 ·
Replies
18
Views
2K
MHB How to find angle between two vectors, given their spherical co-ordinates?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Integrating a function of which poles appear on the branch cut
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Any surface bounded by the same curve in Stokes' theorem
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Asymmetry in Stokes' theorem & Gauss' theorem
  • · Replies 30 ·
2
Replies
30
Views
3K
Undergrad Understanding the ##\epsilon## definition of this integral
  • · Replies 23 ·
Replies
23
Views
4K
Graduate Least-squares calculation with a pinch of weights and monte-carlo
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Estimate the magnitude of a line integral exp(iz) over a semicircle
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad The domain of the Fourier transform
  • · Replies 3 ·
Replies
3
Views
2K
Insights How to Solve Second-Order Partial Derivatives
  • · Replies 3 ·
Replies
3
Views
3K
High School Second Derivative Question -- Help Understanding the Importance Please
  • · Replies 13 ·
Replies
13
Views
3K
MHB Finding Limit: Get Step-by-Step Help Here
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Questions about Partial Differentiation Operations
  • · Replies 17 ·
Replies
17
Views
2K
Graduate Integral of a sinc squared function over a square root function
  • · Replies 5 ·
Replies
5
Views
2K
MHB Trouble finding the derivative of a fraction using four step process
  • · Replies 2 ·
Replies
2
Views
2K
Solving Tricky Integral: How to Proceed Further?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Vector field and Helmholtz Theorem
  • · Replies 20 ·
Replies
20
Views
4K
MHB Finding a formula for the multiplication of multiple formal power series
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad The Levi-Civita Symbol and its Applications in Vector Operations
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Checking the integrability of a function using upper and lowers sums
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Variation sign and integral sign
  • · Replies 4 ·
Replies
4
Views
2K
MHB How can I solve this limit without using L'Hôpital's rule?
  • · Replies 2 ·
Replies
2
Views
2K
MHB 34 MVT - Application of the mean value theorem
  • · Replies 2 ·
Replies
2
Views
1K
MHB Write on Interpretations of integration (give examples).
  • · Replies 1 ·
Replies
1
Views
1K
MHB Understanding the Meaning of Integration in Math
  • · Replies 2 ·
Replies
2
Views
1K
High School Is the sign of the square root dependent on the argument inside it?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad What is the limit of (a^n)/n for a>1?
  • · Replies 7 ·
Replies
7
Views
3K
MHB How Did Archimedes Achieve Quadrature of the Parabola Without Calculus?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What does this proof mean? (variation of high-order derivative)
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Find the value of this definite integral in terms of t, s and alpha
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Magnitude and phase of the Fourier transform
  • · Replies 4 ·
Replies
4
Views
2K
MHB Problem using big O notation
  • · Replies 1 ·
Replies
1
Views
984
MHB Solve Complex Integration: Find 2.36 Area of y=-x/2e+1/e+e & y=e^x/2
  • · Replies 10 ·
Replies
10
Views
2K
Graduate Spatial Fourier Transform: Bessel x Sinusoidal
  • · Replies 3 ·
Replies
3
Views
2K
MHB Minimize a function: Find value of x that result in lowest value of formula
  • · Replies 6 ·
Replies
6
Views
2K
MHB S8.3.7.6 minimum vertical distance
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Inverse Laplace transform of a rational function
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What is meant by rate of change with respect to volume?
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Fourier transform of rectangular pulses
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Extract a derivative from an equation
  • · Replies 1 ·
Replies
1
Views
1K
High School Tangents to a curve as functions of different variables
  • · Replies 5 ·
Replies
5
Views
2K
MHB DE 20 ty'+(t+1)y=t y(\ln{2}=1, t>0
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Velocity Vector Transformation from Cartesian to Spherical Coordinates
  • · Replies 2 ·
Replies
2
Views
4K
MHB DE 19 t^3y'+4t^2y=e^{-t} y(-1)=1,t>0
  • · Replies 9 ·
Replies
9
Views
3K
MHB De 17 y'-2y=e^{2t} y(0)=2
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Find the area enclosed by the curve y = x csch(x+y)
  • · Replies 3 ·
Replies
3
Views
2K
MHB DE 2.1.1.16 Find the solution of the give initial value problem
  • · Replies 10 ·
Replies
10
Views
1K
Undergrad Wolfram Mathworld's article on Cauchy-Riemann Equations
  • · Replies 23 ·
Replies
23
Views
3K
MHB How to Find the Limit of a Power Function Using Desmos?
  • · Replies 7 ·
Replies
7
Views
1K
MHB How is z=2xy a Hyperbolic Paraboloid in the rotated 45° in the xy-plane?
  • · Replies 7 ·
Replies
7
Views
2K
MHB S8.3.7.4. The sum of two positive numbers is 16.
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad How to calculate this Bessel's terms limit?
  • · Replies 1 ·
Replies
1
Views
1K
MHB S8. 3.7.10 at which photosynthesis takes place (min/max)
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Behavior of a function for large x?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Which of the following statements is true?
  • · Replies 1 ·
Replies
1
Views
850
Undergrad Differentiability assumptions of Wirtinger derivatives
  • · Replies 20 ·
Replies
20
Views
3K
Undergrad Laplace transform of an expression using transform tables
  • · Replies 5 ·
Replies
5
Views
2K
High School Confused about holding variables constant during integration
  • · Replies 15 ·
Replies
15
Views
4K
Undergrad Alternative Definitions of the Epsilon-Delta
  • · Replies 25 ·
Replies
25
Views
4K
Higher dimensional FTC in electrostatics: Mathematically rigorous or not?
  • · Replies 5 ·
Replies
5
Views
2K
MHB S8.3.7.3. whose sum is a minimum
  • · Replies 3 ·
Replies
3
Views
1K
High School Proof of quotient rule using Leibniz differentials
  • · Replies 9 ·
Replies
9
Views
5K
Graduate Can this difficult Gaussian integral be done analytically?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Possibility of an integral system
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Invert an integral equation to find this unknown
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Changing to Polar coordinates in order to calculate this integral
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Integrate 1/(x*lnx): Integration by Parts
  • · Replies 3 ·
Replies
3
Views
2K