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.
Graduate One dimensional integration that Mathematica cannot do
  • · Replies 4 ·
Replies
4
Views
1K
MHB Modifying values to lie within existence domain
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Plotting and visualizing a 3D plot of a vector function
  • · Replies 4 ·
Replies
4
Views
2K
MHB Derivative of Integral: Does the $x^2$ Cancel?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Confusion on the Volumes of Solids of Revolution
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Power series Construction Help
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Struggling to understand how I get this answer
  • · Replies 4 ·
Replies
4
Views
1K
High School Solving Naumann Equation: How Bessel's Second Kind Was Discovered
  • · Replies 1 ·
Replies
1
Views
1K
MHB Linearization of this equation / Inverse function
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Cauchy Repeated Integration Explanation?
  • · Replies 3 ·
Replies
3
Views
4K
Graduate Solve Derivative Bessel Function (Type II & III) - Help Needed
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad How to Extract Data from an Integral
  • · Replies 9 ·
Replies
9
Views
2K
MHB Spherical coordinates - Orthonormal system
  • · Replies 7 ·
Replies
7
Views
2K
MHB Finding Cylindrical Points $(r, \theta, z)$ in Range
  • · Replies 3 ·
Replies
3
Views
2K
MHB How Do Cylindrical and Spherical Coordinates Represent the Same Point?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Adjustments to lie within a circle
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Hydrost Pressure Integration Problem (Environmental Physics)
  • · Replies 3 ·
Replies
3
Views
2K
MHB Is the Inflection Point at x = 7 Incorrect?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Show that a particle moves over a circumference
  • · Replies 14 ·
Replies
14
Views
2K
Undergrad Gradient Vector- largest possible rate of change?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Solving Limits: l'Hopital's Rule & Degree Rule
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Deriving the Area of a Circular Sector Using Integration
  • · Replies 18 ·
Replies
18
Views
8K
MHB Differential and integral equation.
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Why Replace u with Positive s in Integral Manipulation?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad General Nth Derivative f(x)=x^x: Solving a Difficult Problem
  • · Replies 5 ·
Replies
5
Views
2K
MHB Finding Lagrangian description of position from Eularian velocity description
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Integrating Sin(x): Solve the Area of a Half Circle
  • · Replies 2 ·
Replies
2
Views
2K
MHB Find Discontinuation Points of f(x) = x*[x]
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Integral calculation (Most Difficult Integral)
  • · Replies 7 ·
Replies
7
Views
2K
MHB Finding the Position Vector of Point $B$ on a Line Segment Between $P$ and $Q$
  • · Replies 2 ·
Replies
2
Views
2K
High School Have you heard of using wedges in calculus to approach integration differently?
  • · Replies 6 ·
Replies
6
Views
1K
High School Doubt regarding least upper bound?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Is There a Significance to the Imaginary Number in the Series for Pi/4?
  • · Replies 9 ·
Replies
9
Views
6K
MHB Evaluating $\displaystyle \int f(z)dz$ with $a>0$
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Calc III Double Integral Question
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Complex Conjugates with sin and cos
  • · Replies 4 ·
Replies
4
Views
6K
Graduate Newtons Divided Difference First Derivative
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Easy and useful way to calculate Log(a+b)
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Digging deeper into (implicit) differentiation and integration
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad How Can I Correctly Integrate e^(ix)cos(x)?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Antiderivative and contour integration
  • · Replies 3 ·
Replies
3
Views
2K
MHB Revisit t the ladder optimization problem
  • · Replies 1 ·
Replies
1
Views
3K
Graduate Deriving this "familiar arccosine form" of integral
  • · Replies 6 ·
Replies
6
Views
2K
Graduate How do I solve complex contour integrals in complex analysis?
  • · Replies 5 ·
Replies
5
Views
3K
Graduate Partial Derivative of a Definite Integral
  • · Replies 3 ·
Replies
3
Views
3K
Graduate Is the Limit of an Irrational Sequence Also Irrational?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Exploring the Physical Application of Calculating Average Value of a Function
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Summation Convention – Substitution Rule
  • · Replies 21 ·
Replies
21
Views
5K
MHB Sketch Graph: Domain 0<x<12 | f' Increasing, f''<0
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Dealing w/slight modification of Gaussian integral?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Intial Velocity of an Object In Free Fall
  • · Replies 10 ·
Replies
10
Views
4K
Graduate Why does the summation of even integers result in infinity?
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Div and curl in other coordinate systems
  • · Replies 2 ·
Replies
2
Views
2K
MHB Concave Up or Down? Identifying Inflection Points in a Polynomial Function
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Calculus Derivations: Handbook, Rules, Properties & Books
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Understanding Integration of 1/(x^2 + a^2) and the Role of the Tan Function
  • · Replies 9 ·
Replies
9
Views
4K
Undergrad Understanding the Chain Rule in Calculus Differentiation
  • · Replies 2 ·
Replies
2
Views
1K
High School The limit of a function as x--> infinity
  • · Replies 2 ·
Replies
2
Views
2K
High School Why Does the Negative Sign Appear in Second Differentiation of Exponentials?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Find Limit of Series w/o Quotations: 65 Characters
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Does (f(x_0))=0 guarantee that d^n/dx^n(f(x_0)=0?
  • · Replies 16 ·
Replies
16
Views
2K
Graduate Doubt on phase stationary method
  • · Replies 4 ·
Replies
4
Views
1K
Graduate 2nd derivative change of variables
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Differentiability of piece-wise functions
  • · Replies 4 ·
Replies
4
Views
2K
MHB How to Integrate cos^2(x)sin^3(x) dx?
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad I don't know yet how to integrate this function....
  • · Replies 8 ·
Replies
8
Views
2K
MHB Why Does the Vector Projection Formula Work?
  • · Replies 9 ·
Replies
9
Views
3K
Graduate Question about the implicit function theorem
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Nonuniform finite element method
  • · Replies 8 ·
Replies
8
Views
2K
Graduate How to work out the area of an elliptical wing?
  • · Replies 10 ·
Replies
10
Views
4K
MHB Calculating the Time an Airplane Will Reach an Airport
  • · Replies 3 ·
Replies
3
Views
2K
MHB Function given, find values of x if...
  • · Replies 1 ·
Replies
1
Views
2K
Graduate How to Numerically Solve a Complex Multiple Integral in Physics?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Question about equations of 3D solids
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Order of zero (complex analysis)
  • · Replies 3 ·
Replies
3
Views
8K
Undergrad Tank Mass Balance Calculation for Designing w/ Automatic Float Switch
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Sinc function as a sum of cosines
  • · Replies 5 ·
Replies
5
Views
4K
Undergrad Lim x->0: Why Can't I Replace (x-sinx)/(sinx)^3 with 1/(sinx)^2-1/(sinx)^2?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad If a=b then integral(a) = integral(b) .... 1/2lnx =/= 1/2ln(2x) ?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Conditions for change of order in derivative of a partial
  • · Replies 2 ·
Replies
2
Views
3K
MHB PBM.1 Limit to Zero: $$\lim_{x\to 0} \frac{\cos 3x-1}{x^2}$$
  • · Replies 5 ·
Replies
5
Views
3K
Graduate [Traffic Flow] Concrete example of conservation equation?
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Improper integral done two different ways
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Proving Inequality: Can Partial Derivatives Help?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Integrating $\sin^4 x$ to get $\cos^2 2x$
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Numerically integrate bivariate function
  • · Replies 4 ·
Replies
4
Views
1K
MHB Nature of real valued function f(x)
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Higher derivative means function is higher?
  • · Replies 5 ·
Replies
5
Views
1K
Graduate Proof: integral of continuous function is 0 so function is 0
  • · Replies 11 ·
Replies
11
Views
6K
Undergrad How Do You Integrate ##\int \tan 2x \ dx##?
  • · Replies 3 ·
Replies
3
Views
17K
Graduate Arc length in polar coordinates
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Basic implicit differentiation question
  • · Replies 3 ·
Replies
3
Views
1K
Graduate Understanding the Role of Partial Derivatives in Calculus of Variations
  • · Replies 2 ·
Replies
2
Views
2K
MHB What is the process to solve \sqrt{x}+\sqrt{y}=5 for the point (4,9)?
  • · Replies 1 ·
Replies
1
Views
1K
Graduate Differentiating Under Integral Sign
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Is there a generalized curl operator for dimensions higher than 3?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad How to Write Vectors in Spherical Coordinates for Scalar Product Evaluation
  • · Replies 1 ·
Replies
1
Views
3K
MHB Trigonometric sum with a product as the argument
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What Happens to dx in Integration?
  • · Replies 38 ·
2
Replies
38
Views
8K
Undergrad Understanding the Chain Rule: (df/dx) + (df/dy)* (dy/dx)
  • · Replies 1 ·
Replies
1
Views
2K