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.
MHB What is the integral of $\sqrt{x^2-1}$? What is the integral of $\sqrt{x^2-1}$?
  • · Replies 11 ·
Replies
11
Views
3K
I Regarding Error Bound of Taylor Series
  • · Replies 8 ·
Replies
8
Views
2K
MHB What values of m maximize the utility function for a consumer buying two goods?
  • · Replies 6 ·
Replies
6
Views
3K
I Vector Laplacian: Scalar or Vector?
  • · Replies 8 ·
Replies
8
Views
2K
A Solving polynomial coefficients to minimize square error
  • · Replies 8 ·
Replies
8
Views
3K
MHB Volume of Region Between y=x and y=-x²+2x
  • · Replies 4 ·
Replies
4
Views
2K
MHB How Do Constraints Affect Finding Stationary Points and Global Extrema?
  • · Replies 17 ·
Replies
17
Views
4K
I Vector Triple Product Identity and Jacobi Identity for Deriving 4B.10 and 4B.11
  • · Replies 2 ·
Replies
2
Views
3K
MHB -z.61.W8.6 int sin^2(x)cos^2(x) dx
  • · Replies 6 ·
Replies
6
Views
2K
I "Hence the partial derivatives ru and rv at P are tangential
  • · Replies 2 ·
Replies
2
Views
2K
MHB Analyzing Stationary Points of Multivariable Function
  • · Replies 4 ·
Replies
4
Views
2K
MHB How much work is required to lift a weight to orbit?
  • · Replies 2 ·
Replies
2
Views
3K
MHB Is My Root Test Solution Correct?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Where Does the $\frac{1}{2}$ in Step 3 Come From?
  • · Replies 9 ·
Replies
9
Views
2K
MHB Evaluating Integral with Change of Variables
  • · Replies 5 ·
Replies
5
Views
2K
MHB What is the derivative of the trigonometric integral?
  • · Replies 9 ·
Replies
9
Views
2K
I Why Does the Gradient Point Towards the Greatest Increase?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Proving Divergence of \sum\frac{1}{2n+1}
  • · Replies 2 ·
Replies
2
Views
2K
I Understanding uniform continuity....
  • · Replies 33 ·
2
Replies
33
Views
4K
MHB Integral involving the derivative
  • · Replies 5 ·
Replies
5
Views
2K
MHB What Is the Correct Volume of the Region Revolving Around x=1?
  • · Replies 3 ·
Replies
3
Views
1K
MHB Calculating Limits without Cheating or L'Hopital's Rule
  • · Replies 5 ·
Replies
5
Views
3K
I Is every conservative vector field incompressible?
  • · Replies 9 ·
Replies
9
Views
6K
I What Test to Show that Inverse Curl Exists?
  • · Replies 6 ·
Replies
6
Views
2K
MHB How Do You Calculate Volume by Rotating a Region Bounded by Curves?
  • · Replies 9 ·
Replies
9
Views
2K
MHB Am I changing the coordinates well?
  • · Replies 8 ·
Replies
8
Views
3K
B A relation which intercepts with....
  • · Replies 4 ·
Replies
4
Views
1K
I Slope w.r.t Origin: Difference, Usage & Examples
  • · Replies 6 ·
Replies
6
Views
2K
MHB Changing variables for defining a region
  • · Replies 2 ·
Replies
2
Views
1K
MHB Integrand with Lambert W -function
  • · Replies 3 ·
Replies
3
Views
2K
MHB How Do You Calculate the Normal Vector of a Sphere in Spherical Coordinates?
  • · Replies 3 ·
Replies
3
Views
5K
MHB Is the Limit of x/x! as x Approaches 0 Equal to 0 or Does it Not Exist?
  • · Replies 7 ·
Replies
7
Views
3K
I Chain rule in a multi-variable function
  • · Replies 1 ·
Replies
1
Views
1K
I Integral of third order polynomial exponential
  • · Replies 1 ·
Replies
1
Views
2K
I Proving limit theorems when limit tends to infinity
  • · Replies 7 ·
Replies
7
Views
2K
MHB Polar coordinates to evaluate double integral
  • · Replies 1 ·
Replies
1
Views
2K
I Lebesgue measure and Fourier theory
  • · Replies 1 ·
Replies
1
Views
1K
I Lagrange Multiplier where constraint is a rectangle
  • · Replies 4 ·
Replies
4
Views
3K
I Is my integral integrable using Mathematica or is there a fundamental error?
  • · Replies 43 ·
2
Replies
43
Views
5K
MHB Differentiation with fractions, radicands, and the power chain rule
  • · Replies 7 ·
Replies
7
Views
2K
I Is there a trick to tell which is the higher curve?
  • · Replies 5 ·
Replies
5
Views
2K
I Calculating Flux through shape on irregular plane in 3-Space
  • · Replies 1 ·
Replies
1
Views
1K
MHB What is the calculation for the height of a high jump on the moon?
  • · Replies 6 ·
Replies
6
Views
3K
I Uniform current in cylinder and straight wire: same field?
  • · Replies 6 ·
Replies
6
Views
1K
I General solution to linear homogeneous 2nd order ODEs
  • · Replies 8 ·
Replies
8
Views
2K
MHB A Function's Intervals of Increasing/Decreasing, Extrema and Concavity
  • · Replies 25 ·
Replies
25
Views
5K
I Finding the volume under the curve of a rotated function
  • · Replies 8 ·
Replies
8
Views
2K
MHB Maximisation Question: Find Largest Capacity
  • · Replies 6 ·
Replies
6
Views
2K
Mathematics of The Multi Dimensional Universe
  • · Replies 7 ·
Replies
7
Views
4K
MHB Surface area of sphere increase at a constant rate
  • · Replies 11 ·
Replies
11
Views
4K
I How Do You Solve for At Using Subscript Derivative Notation?
  • · Replies 1 ·
Replies
1
Views
1K
I Square Root in an alternating power series
  • · Replies 6 ·
Replies
6
Views
2K
MHB S4.6r.11 Solid of revolution about the y axis
  • · Replies 10 ·
Replies
10
Views
2K
MHB Find Vol Bound by $x_2 =\frac{y+1}{2}$ & $x_1=y^2$
  • · Replies 2 ·
Replies
2
Views
2K
MHB Equation of slope of a function that passes thru a point
  • · Replies 11 ·
Replies
11
Views
3K
B A simple differentiation and partial differentiation
  • · Replies 2 ·
Replies
2
Views
1K
I Unsure of solution to improper integral
  • · Replies 3 ·
Replies
3
Views
1K
I Can this Laplace transform integral be solved with a symbolic integrator?
  • · Replies 3 ·
Replies
3
Views
1K
I How Do You Solve the Integral of 1/(y+cos(x))^2?
  • · Replies 7 ·
Replies
7
Views
4K
MHB How do I find the upward pointing unit normals for $U$ and $D$?
  • · Replies 3 ·
Replies
3
Views
3K
MHB Volumn of x=2sqrt y. About y axis
  • · Replies 2 ·
Replies
2
Views
5K
I Geometric Series Convergence and Divergence
  • · Replies 3 ·
Replies
3
Views
2K
I Finding the PDF of X Given an Expression
  • · Replies 3 ·
Replies
3
Views
1K
I Solve for Integral of Tricky Function in Calculus | Math Subject GRE
  • · Replies 3 ·
Replies
3
Views
1K
B Trouble converting definite integrals to Riemann's and back
  • · Replies 1 ·
Replies
1
Views
1K
MHB Checking if $\text{ curl } \vec{F}=\vec{0}$ for $\vec{F}$ & $f$
  • · Replies 2 ·
Replies
2
Views
2K
I How Does L'Hopital's Rule Intuitively Explain Limits?
  • · Replies 5 ·
Replies
5
Views
4K
I Solving Gradient of ||f(x)||^2 - Chain Rule
  • · Replies 3 ·
Replies
3
Views
1K
MHB When Should Parametric Equations Be Used to Calculate Curve Length?
  • · Replies 2 ·
Replies
2
Views
2K
B True unit of average integral result
  • · Replies 6 ·
Replies
6
Views
1K
I Integral problems with polar coordinates and variable substitution
  • · Replies 41 ·
2
Replies
41
Views
4K
A Bessel decomposition for arbitrary function
  • · Replies 6 ·
Replies
6
Views
3K
A Fourier Transform of Piecewise linear spline wavelet
  • · Replies 2 ·
Replies
2
Views
2K
B Finding intervals of a 3 degree function?
  • · Replies 4 ·
Replies
4
Views
2K
I How Is the Divergence Theorem Applied to Derive Vector Field Identities?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Maximizing volume of cone inscribed within cone
  • · Replies 2 ·
Replies
2
Views
4K
I Proving the Continuity of Fourier Transform in the Limit as L Tends to Infinity
  • · Replies 1 ·
Replies
1
Views
1K
MHB Velocity and displacement and distance
  • · Replies 3 ·
Replies
3
Views
2K
I Is Convolution a Viable Method for Enhancing Printing on a Rotating Platen?
  • · Replies 1 ·
Replies
1
Views
1K
I Integration of 1 variable in 2 different ways.
  • · Replies 6 ·
Replies
6
Views
1K
I Proving that a function is a solution to the wave equation
  • · Replies 1 ·
Replies
1
Views
1K
I Alternating Series, Testing for Convergence
  • · Replies 4 ·
Replies
4
Views
2K
I Example of *Non* Cartesian Vector/Tensor (not the coordinate s
  • · Replies 13 ·
Replies
13
Views
4K
Why does it matter what convergence test I use?
  • · Replies 13 ·
Replies
13
Views
3K
I How does the limit comparison test for integrability go?
  • · Replies 2 ·
Replies
2
Views
1K
I General questions about integrals (definitions)
  • · Replies 13 ·
Replies
13
Views
2K
MHB Find a formula for the Riemann sum and take the limit of the sum as n->infinite
  • · Replies 1 ·
Replies
1
Views
4K
B Integrating velocity equation problem
  • · Replies 11 ·
Replies
11
Views
2K
I Related Rates (+Trig) Question
  • · Replies 7 ·
Replies
7
Views
2K
I Why use a subset in the definition of bounded above?
  • · Replies 2 ·
Replies
2
Views
1K
B Using multiple calculus books at the same time......
  • · Replies 1 ·
Replies
1
Views
1K
B Can open sets be described in-terms of closed sets?
  • · Replies 4 ·
Replies
4
Views
1K
MHB Is the Function $f(x,y)=\frac{x}{y}+\frac{y}{x}$ Differentiable and $C^1$?
  • · Replies 7 ·
Replies
7
Views
4K
A Evaluation of a horrible Multiple Integral
  • · Replies 4 ·
Replies
4
Views
1K
B Trapezoidal Rule , number of segments
  • · Replies 3 ·
Replies
3
Views
1K
B Complex Integration By Partial Fractions
  • · Replies 1 ·
Replies
1
Views
2K
I Miscellaneous Integration Technique
  • · Replies 2 ·
Replies
2
Views
2K
I Determining the Rate at Which Functions approach Infinity
  • · Replies 3 ·
Replies
3
Views
9K
I How to Derive Exchange Energy from Ground State Equation?
  • · Replies 5 ·
Replies
5
Views
1K
I Is the Sum of All Triangles Really Infinite? A Problem to Discuss
  • · Replies 7 ·
Replies
7
Views
1K