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.
Undergrad Limit of a sequence (explanation)
  • · Replies 6 ·
Replies
6
Views
2K
MHB What is the limit of \( x^x \) as \( x \) approaches 0?
  • · Replies 10 ·
Replies
10
Views
2K
MHB Find f'(0) from a piecewise function
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Evaluation of a definite integral
  • · Replies 7 ·
Replies
7
Views
2K
MHB Limit - Values of a and b that satisifies the equation.
  • · Replies 9 ·
Replies
9
Views
4K
MHB Integration - Find all functions f(x)
  • · Replies 11 ·
Replies
11
Views
3K
MHB How to Calculate the Indefinite Integral of a Complex Function?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Calc Challenge IV: Evaluate Limit of Int.
  • · Replies 5 ·
Replies
5
Views
1K
MHB Range of k for Real x in $\dfrac{e^x+e^{-x}}{2}\le e^{kx^2}$
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Best practice books on Vector Calculus
  • · Replies 2 ·
Replies
2
Views
3K
Graduate Rudin 1.21 Problem understanding proof of unique positive root to the
  • · Replies 3 ·
Replies
3
Views
4K
MHB Minimizing Isosceles triangle with a circle inscribed
  • · Replies 51 ·
2
Replies
51
Views
9K
MHB Calculus Challenge III: Prove $f(x)>0$ for All Real $x$
  • · Replies 2 ·
Replies
2
Views
1K
MHB Derivation Application in Differential Calculus, verification question problem.
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Difference of total derivative and partial derivative
  • · Replies 3 ·
Replies
3
Views
10K
MHB Putnam Solution (Differential Calculus)
  • · Replies 21 ·
Replies
21
Views
4K
Undergrad Can you derive e^x by first principles?
  • · Replies 15 ·
Replies
15
Views
17K
MHB Solving a Complex Integral: Substituting tg (x/2)
  • · Replies 5 ·
Replies
5
Views
2K
MHB Solving Difficult Integral: $\int \frac{dx}{1+\sin(x) -\cos^2(x)}$
  • · Replies 6 ·
Replies
6
Views
2K
MHB Finding the Equation of a Parallel Plane: How Do I Use Vectors to Solve This?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Equation of Plane Through Origin & Perpendicular to Vector (1,-2,5)
  • · Replies 1 ·
Replies
1
Views
1K
MHB How can we determine the intersection point of two lines with given equations?
  • · Replies 33 ·
2
Replies
33
Views
5K
Graduate Expansion of scalar function times laplace's equation
  • · Replies 2 ·
Replies
2
Views
2K
MHB Another equation of another line
  • · Replies 4 ·
Replies
4
Views
2K
Graduate Local uniform continuity of a^q
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Simpson's Rule with negative values
  • · Replies 1 ·
Replies
1
Views
5K
MHB What Property Connects the Steps in a Geometric Series Calculation?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Symbolic manipulation inside integral
  • · Replies 3 ·
Replies
3
Views
2K
MHB Optimizing Area for two shapes using a single piece of string
  • · Replies 17 ·
Replies
17
Views
6K
MHB Another Interesting Putnam Integral.
  • · Replies 9 ·
Replies
9
Views
2K
MHB Can Differentiation Under the Integral Sign be Used to Solve this Integral?
  • · Replies 19 ·
Replies
19
Views
4K
MHB How to find the volume of a parallelepiped using determinants?
  • · Replies 10 ·
Replies
10
Views
5K
MHB Spherical co-ordinates conversion
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Sphere Problem - Please correct
  • · Replies 11 ·
Replies
11
Views
2K
MHB Is sequence 2^n/n increasing or decreasing?
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Odd/even functions and periodicity
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Theorem on continuous function crossing x-axis
  • · Replies 3 ·
Replies
3
Views
2K
MHB Find $\left| a-b \right|$: Vectors and Magnitude
  • · Replies 6 ·
Replies
6
Views
2K
MHB Critical Points and Global Extrema Question
  • · Replies 9 ·
Replies
9
Views
3K
MHB Show that equality holds in Cauchy-Schwarz inequality if and only if....
  • · Replies 5 ·
Replies
5
Views
9K
Graduate Power series absolute convergence/ Taylor polynomial
  • · Replies 5 ·
Replies
5
Views
2K
MHB Points of intersection of polar equations
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Calculus of variations: multiple variables, functions of one variable
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Solving equation involving a variable and its logarithm
  • · Replies 6 ·
Replies
6
Views
1K
Undergrad Can't Figure Out This Integral? Let's Help Each Other!
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Maximize multivariable function with infinite maxima
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Putnam Exam Challenge (Maximum Value)
  • · Replies 27 ·
Replies
27
Views
4K
MHB Surface of revolution - y = (1/3)x^3
  • · Replies 30 ·
2
Replies
30
Views
5K
Undergrad Simple equations for calculating path weight
  • · Replies 2 ·
Replies
2
Views
2K
MHB How Do Absolute Values Affect Integration?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Drawing Geometry Questions: Can You Help?
  • · Replies 9 ·
Replies
9
Views
2K
Graduate Relating integral of powers of Sin b/w 0 and pi/2 to factorial form
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Finding equation of a curve through 5 points
  • · Replies 5 ·
Replies
5
Views
13K
MHB Johnsy's question about finding a derivative via Facebook
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Can I write this integral in "closed-form" expression?
  • · Replies 4 ·
Replies
4
Views
2K
MHB Surface of revolution - Hypocycloid
  • · Replies 15 ·
Replies
15
Views
4K
MHB Comparing 3 Points on a 3D Graph
  • · Replies 4 ·
Replies
4
Views
1K
Graduate Good reference on multi-variable calculus of variation
  • · Replies 1 ·
Replies
1
Views
2K
MHB Did I make a mistake in this integral?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Integral Problem: Non-Zero Continuous Function R to R Solution
  • · Replies 3 ·
Replies
3
Views
2K
MHB Solids of Revolution - Negative Volume
  • · Replies 36 ·
2
Replies
36
Views
13K
Undergrad Why do some integrals require correction for extreme precision?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Integrating Discrete Spaces and Time: Implications for Continuum and Precision
  • · Replies 8 ·
Replies
8
Views
2K
Graduate Finding an upper-estimate for a sequence.
  • · Replies 4 ·
Replies
4
Views
2K
MHB Understanding Work Integrals: Examples Explained
  • · Replies 4 ·
Replies
4
Views
3K
MHB Why do we assume all existence facts are given in math word problems?
  • · Replies 23 ·
Replies
23
Views
4K
Undergrad Rational function that approximates e^x
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Understanding the Rationale Behind Flux Integrals
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Can the Dot Product be Customized to Change Linearly?
  • · Replies 5 ·
Replies
5
Views
2K
MHB Can You Solve the Summation of Series Challenge Using Cauchy-Schwarz Inequality?
  • · Replies 2 ·
Replies
2
Views
1K
Graduate Asymptotic behavior of this function?
  • · Replies 3 ·
Replies
3
Views
2K
Graduate Alternate Representation of Function
  • · Replies 2 ·
Replies
2
Views
2K
MHB How Do You Solve the Integral of ln|a+b*sin(x)| from 0 to 2π?
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Change of variables for 2nd order differential
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Understanding Greene's, Stoke's, and the Divergence theorems
  • · Replies 4 ·
Replies
4
Views
7K
MHB Volume of Region Bounded by x^2-y^2=16, y=0, x=8, about y-axis
  • · Replies 7 ·
Replies
7
Views
2K
MHB Half Life and Exponential Growth Question
  • · Replies 17 ·
Replies
17
Views
4K
MHB Factoring y^4+y^2+1: Other Ways to Approach
  • · Replies 12 ·
Replies
12
Views
4K
MHB Definite Integration of a concave upward function- Inequality
  • · Replies 11 ·
Replies
11
Views
3K
MHB Derivatives and Inverse Trigonometry
  • · Replies 10 ·
Replies
10
Views
3K
MHB Find Limit of (x^3/2 - 27)/(x-9) with Sample Values
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Don't understand Stoke's Theorem (Revised)
  • · Replies 3 ·
Replies
3
Views
3K
MHB Limits of Complex Expressions: Infinity or 0?
  • · Replies 5 ·
Replies
5
Views
2K
MHB What is the rate of change of s with respect to time when y=π/2 radians?
  • · Replies 6 ·
Replies
6
Views
2K
MHB Evaluating an Integral with U-Substitution
  • · Replies 1 ·
Replies
1
Views
1K
MHB Evaluation of Indefinite Integral
  • · Replies 3 ·
Replies
3
Views
2K
MHB Functions with asymptotes and differentiability Question
  • · Replies 8 ·
Replies
8
Views
3K
MHB Graphing Functions With Asymptotes and Discontinuity
  • · Replies 9 ·
Replies
9
Views
2K
MHB Building a Pipeline Optimization Problem
  • · Replies 1 ·
Replies
1
Views
4K
Undergrad Dot product of a vector and a derivative of that vector
  • · Replies 3 ·
Replies
3
Views
4K
MHB Sketching graphs with extreme values with the Given Information
  • · Replies 6 ·
Replies
6
Views
2K
MHB Finding Limits Using Limit Laws (Not L'Hopital's Rule)
  • · Replies 5 ·
Replies
5
Views
3K
MHB Calculating Area from Differentials
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Is My Interpretation of the 2nd Order Derivative Correct?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Differentiation Techniques in Calculus
  • · Replies 5 ·
Replies
5
Views
2K
MHB Concavity, Inflection Points, and Intervals of Increase and Decrease
  • · Replies 3 ·
Replies
3
Views
2K
MHB What is the rate of change of angle in a 90 degree triangle?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Differentiation With L'Hopital's Rule
  • · Replies 7 ·
Replies
7
Views
2K
MHB Related Rates and Exponential Growth
  • · Replies 6 ·
Replies
6
Views
2K
MHB Exponential Growth And Composite Functions
  • · Replies 6 ·
Replies
6
Views
2K