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 C1 and C2 in a differential equation....
  • · Replies 7 ·
Replies
7
Views
8K
MHB Expanding the Fraction 1/x(x+1)^2: A Quick Guide for Scientists
  • · Replies 10 ·
Replies
10
Views
3K
MHB 10) AP Calculus linear functions
  • · Replies 1 ·
Replies
1
Views
2K
MHB Don't think there is a solution
  • · Replies 4 ·
Replies
4
Views
3K
MHB Integral Challenge II: Calculate Int. 2 to 7
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Partial Fraction Decomposition With Quadratic Term
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Proof of convergence & divergence of increasing sequence
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Find a harmonic function with imposed restrictions
  • · Replies 1 ·
Replies
1
Views
1K
MHB What is the slope of functions at the edge case of $x=1$?
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Is Wolfram Alpha Wrong About This Infinite Sum?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Question about Digamma function and infinite sums
  • · Replies 2 ·
Replies
2
Views
2K
MHB 206.5.64 integral by partial fractions
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What is the Explanation for Implicit Differentiation Equation?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Is the Improper Integral Convergent and What is its Value?
  • · Replies 3 ·
Replies
3
Views
2K
MHB How Does Trigonometric Substitution Simplify the Integral Calculation?
  • · Replies 5 ·
Replies
5
Views
2K
High School Why can't sin(x^2) be expressed in terms of sin(x)?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Why is Stoke's theorem of a closed path equal to zero?
  • · Replies 9 ·
Replies
9
Views
12K
MHB Does this integral converge at $y=1$?
  • · Replies 11 ·
Replies
11
Views
3K
MHB Can Simpson's Rule be Applied to $$I_{35}$$?
  • · Replies 2 ·
Replies
2
Views
2K
MHB 242.q2.3a Int_2^4 dx/[x( ln x)^2]
  • · Replies 13 ·
Replies
13
Views
4K
MHB ANSWER CHECK: Double Integral in Polar
  • · Replies 2 ·
Replies
2
Views
2K
MHB ANSWER CHECK: Sum of Double Integrals involving Polar Conversion
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Decomposing a Function for Numerical Integration
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Properties of Direct Product of Half Open and Open Intervals
  • · Replies 18 ·
Replies
18
Views
2K
MHB Deriving F(x) from f(x*f(x^2)) with Given Conditions
  • · Replies 6 ·
Replies
6
Views
2K
MHB Graph of function intersects line
  • · Replies 8 ·
Replies
8
Views
2K
MHB Is only (i) true for a continuous function f with given conditions?
  • · Replies 6 ·
Replies
6
Views
2K
MHB 206.8.7.58 Int 1/(x^2-6x+34) dx complete the square
  • · Replies 6 ·
Replies
6
Views
4K
MHB Integral of sec(x): Solving with Substitution
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What is the Limit of This Complex Function as z Approaches i?
  • · Replies 12 ·
Replies
12
Views
1K
MHB 242.8.7.64 int (x^4+1)/(x^3+9x) dx
  • · Replies 1 ·
Replies
1
Views
2K
MHB Evaluating $\int \tan^9(x) \sec^4(x) dx$
  • · Replies 4 ·
Replies
4
Views
2K
MHB Find Linear Equation: C=f(F) Temp Conversion
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad What is the odd/even function in integral for trigonometric functions?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Integral of a special trigonometic functions
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Understanding "Terrible" Math Notation: A Calculus Guide
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Dot product constrained optimization
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What is the purpose of Arc-Length Parameterization?
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Lim f(x)/g(x) as x->∞ and relative growth rate of functions
  • · Replies 11 ·
Replies
11
Views
5K
MHB Finding Continuous Values of $\frac{e^{sinx}}{4 - \sqrt{x^2 - 9}}$
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Optimization in Projectile Motion
  • · Replies 16 ·
Replies
16
Views
3K
Undergrad Understanding the Intuition Behind Fourier Series?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad How Does the -1 Arise in This Series to Function Conversion?
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Spivak - Proof of f(x) = c on [a, b]
  • · Replies 4 ·
Replies
4
Views
2K
MHB 206.8.4.61 int (x^2+2x+4)/(sqrt(x^2-4x)) dx
  • · Replies 2 ·
Replies
2
Views
2K
MHB Is Completing the Square Necessary for Finding Optimal Points in Calculus?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Integrating a Function with Constants: A Physics Perspective
  • · Replies 3 ·
Replies
3
Views
1K
MHB How Is the Integral of sqrt(y^2-16)/y Solved Using Trigonometric Substitution?
  • · Replies 8 ·
Replies
8
Views
2K
MHB 206.8.4.35 integral complete the square
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Why is the limit of θ from 0 to π in the formula for surface area of a sphere?
  • · Replies 2 ·
Replies
2
Views
2K
High School Integral with Exponential Integral Function
  • · Replies 9 ·
Replies
9
Views
2K
MHB Solving a Disk Method Problem: What Info Needed?
  • · Replies 3 ·
Replies
3
Views
2K
MHB 205.8.4.30. Int 24/(144x^2+1)^2 dx
  • · Replies 4 ·
Replies
4
Views
2K
High School What is ##\frac{d}{dx}(\frac{x}{y^2})##?
  • · Replies 12 ·
Replies
12
Views
2K
MHB How to Solve the Integral of 1/sqrt(7-x^2) – A Step-by-Step Guide
  • · Replies 4 ·
Replies
4
Views
2K
MHB How can I find the inverse function for a given approximation?
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Finding the Solution to ∫dx/sen(x): A French Forum Experience
  • · Replies 4 ·
Replies
4
Views
1K
Graduate How would I know if my integrand is odd?
  • · Replies 12 ·
Replies
12
Views
24K
Undergrad How to calculate slope for data set
  • · Replies 2 ·
Replies
2
Views
2K
MHB Evaluating the inverse of a function
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Is the Gradient of Dirac Delta Independent of the Coordinate System?
  • · Replies 7 ·
Replies
7
Views
13K
Undergrad Does a limit exist on a graph at (-1,0) if the point
  • · Replies 2 ·
Replies
2
Views
1K
MHB How Do You Evaluate the Integral of Sin^4(x) from 0 to Pi?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Proving Theorem 1 in Spivak's Calculus: Tips & Tricks
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Verifying derivative of multivariable integral equation
  • · Replies 2 ·
Replies
2
Views
1K
MHB 242.ws3.1 d/dx of e^arctan{x} - arctan{e^x}
  • · Replies 1 ·
Replies
1
Views
2K
MHB Solve Indefinite Integral: 3 Ways
  • · Replies 7 ·
Replies
7
Views
2K
MHB Getting a sign chart for a function
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Partial derivative used in Calc of Variation
  • · Replies 6 ·
Replies
6
Views
2K
High School How can I find this characteristic function
  • · Replies 1 ·
Replies
1
Views
1K
MHB Calculating the Derivative of an Exponential Function with Logarithms?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Why are y and y' treated as independent in calculus of variation?
  • · Replies 3 ·
Replies
3
Views
3K
MHB Finding Area under x^2-16 Curve: ∫_2^5
  • · Replies 2 ·
Replies
2
Views
1K
MHB Integration Help 2: Solving Int. w/ Unknown Method
  • · Replies 10 ·
Replies
10
Views
2K
MHB How to Solve the Separable Differential Equation $y'=x^4y^4$?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Solving Line Integral Limits: Negative Result?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Finding the value of the constant that makes the function continuous?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Griffiths problem 2.7 Messy Integral
  • · Replies 7 ·
Replies
7
Views
5K
Undergrad Need help with concept based questions
  • · Replies 6 ·
Replies
6
Views
2K
MHB Integrating $$1-y^2$$: Simplifying Arcsins
  • · Replies 1 ·
Replies
1
Views
2K
MHB Need help with finding the inverse of a function
  • · Replies 4 ·
Replies
4
Views
2K
MHB Compare volume formula to integration
  • · Replies 2 ·
Replies
2
Views
2K
MHB Convert $a^{5/\log_9a}$ to Base 14
  • · Replies 1 ·
Replies
1
Views
1K
Undergrad Upper and lower bounds of integral
  • · Replies 8 ·
Replies
8
Views
4K
Undergrad Moment of inertia of a spherical shell
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Relating integral expressions for Euler's constant
  • · Replies 18 ·
Replies
18
Views
5K
MHB D/dx x(x^2 +1) ^{1 /2}/(x+1) ^{2 /3}
  • · Replies 8 ·
Replies
8
Views
3K
High School What Defines a Continuous Function and Its Domain Differences?
  • · Replies 18 ·
Replies
18
Views
3K
MHB How Does Integration by Parts Differ in Solving $\int x^8 \ln x^9 \, dx$?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad What is a partial derivative and how is it used in Schrodinger's equation?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Maximizing Volume of Rectangular Prism with 120cm x 80cm Sheet Metal
  • · Replies 18 ·
Replies
18
Views
5K
Undergrad Integration Limits Changing in Double Integral Order Change
  • · Replies 4 ·
Replies
4
Views
2K
MHB Finding Coordinates for sin(2x)=1/2
  • · Replies 5 ·
Replies
5
Views
4K
Graduate Trying an alternate Proof of the Fundamental Theorem
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad Simplifying integral of Gauss' hypergeometric function
  • · Replies 6 ·
Replies
6
Views
2K
MHB Ratio test with an integer power of an in numerator
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Why this triple integral equals zero?
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Series for Elliptic Integral of the First Kind
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Malus' law in the limit of infinitely many polarizers
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Fourier transform of a sum of shifted Gaussians
  • · Replies 4 ·
Replies
4
Views
6K