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 Inequality involving area under a curve
  • · Replies 1 ·
Replies
1
Views
1K
MHB Continuous Function Integration Challenge
  • · Replies 1 ·
Replies
1
Views
980
Undergrad Advice toward Mastering Challenging Vector Calc Problems
  • · Replies 4 ·
Replies
4
Views
1K
High School How to prove this infinite series?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Good day, Exam Integrals: volume and area
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Proving the product rule using probability
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Chain Rule in Multiple Variables
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad A Zorich proposition about local charts of smooth surfaces
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Why is the heaviside function in the inverse Laplace transform of 1?
  • · Replies 8 ·
Replies
8
Views
4K
MHB Help with Derivatives Problem - Get Answers Now
  • · Replies 1 ·
Replies
1
Views
972
Undergrad An integral with a delta-function
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Chebyshev Differentiation Matrix
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Unclear step in "Change of variable in a multiple integral" proof
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Partial derivative of Vxx w.r.t. r in terms of Vxx
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Unclear steps in a Zorich proof (Measurable sets and smooth mappings)
  • · Replies 2 ·
Replies
2
Views
1K
MHB Find Steady States for Equations: u, v and Get Help with Steady State Question
  • · Replies 1 ·
Replies
1
Views
1K
MHB Find length that minimizes the perimeter
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad A simple equation with simple solution - how to solve it?
  • · Replies 12 ·
Replies
12
Views
2K
MHB How Do Steady State Equations Predict Animal Population Dynamics?
  • · Replies 7 ·
Replies
7
Views
1K
MHB Area of the bounded regions between a straight line and a polynomial
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Using polar coordinates to describe rose petals
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Derivative of a function of another function
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad How can you prove the integral without knowing the derivative?
  • · Replies 6 ·
Replies
6
Views
2K
MHB Can I also say that cot (0) = positive infinity?
  • · Replies 9 ·
Replies
9
Views
3K
MHB Calculating Height and Distance of a Mountain at Sea
  • · Replies 8 ·
Replies
8
Views
2K
MHB What is the sum of these trigonometric fractions?
  • · Replies 1 ·
Replies
1
Views
1K
MHB 1.6.1 AP Calculus Exam Limits with L'H
  • · Replies 3 ·
Replies
3
Views
2K
MHB Why Does Integration Matter in Solving for the Average Value of a Function?
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Is the Chain Rule Applicable to the Euclidean Norm in Calculating Derivatives?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Finding minimum value of function with two variable
  • · Replies 7 ·
Replies
7
Views
3K
MHB 48.2.2.23 IVP and min valuew
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Linearity of power spectral density calculations
  • · Replies 3 ·
Replies
3
Views
2K
MHB Single Variable Calculus Summary Rulesheet
  • · Replies 5 ·
Replies
5
Views
9K
MHB Integral of trigonometric function
  • · Replies 1 ·
Replies
1
Views
989
MHB Integral Challenge: Evaluating $\int_0^\infty \frac{x^2+2}{x^6+1} \, dx$
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad What is the Function for the Value of a Convergent Series Sum?
  • · Replies 3 ·
Replies
3
Views
1K
MHB What is the ratio of two integrals involving sine with exponents of sqrt(2)?
  • · Replies 3 ·
Replies
3
Views
1K
MHB 1.1.4 AP Calculus Exam Problem int sec x tan x dx
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Rewriting a complex number for use in an analytic computation
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Why integrals took 2000 years to come up in a rigorous manner?
  • · Replies 9 ·
Replies
9
Views
2K
MHB How to Find the Point of Intersection Between ln x and 5-x?
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad How did mathematicians discover the expressions of hyperbolic functions?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Implicit function theorem for f(x,y) = x^2+y^2-1
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How to solve this integral? (something to do with a beta distribution?)
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Integrating x^ne^xn: Analyzing & Solving
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Confusion on a simple integration
  • · Replies 3 ·
Replies
3
Views
1K
Graduate How can we approximate the following integral for large D?
  • · Replies 9 ·
Replies
9
Views
2K
MHB Q1 Can you pass this 3 question AP calculus Quiz in 10 minutes
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad How to prove that ##f## is integrable given that ##g## is integrable?
  • · Replies 30 ·
2
Replies
30
Views
3K
Undergrad Questions about this video on Taylor series
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad How Does the Ratio Test Determine Convergence in Power Series?
  • · Replies 19 ·
Replies
19
Views
2K
Undergrad Will ##M_i = m_i## if an interval is made vanishingly small?
  • · Replies 14 ·
Replies
14
Views
2K
High School Question about Limits and the Derivative
  • · Replies 29 ·
Replies
29
Views
3K
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 Dimension of the cut-out squares that result in largest possible side area
  • · Replies 3 ·
Replies
3
Views
3K
MHB Derivatives with Quadratic Functions.
  • · Replies 2 ·
Replies
2
Views
2K
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 Maximizing $y=|4x^3+ax^2+bx+c|$ in $[-1,1]$
  • · Replies 1 ·
Replies
1
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
MHB Unsolved Challenge: Natural logarithm and Exponent
  • · Replies 1 ·
Replies
1
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