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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 Is the series $\sum_{k=1}^{\infty}\frac{\arctan(2k)}{1+4k^2}$ convergent?
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MHB What is the growth rate of a differentiable function?
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Undergrad How to find outer limit of integration for this triple integ
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Undergrad Vector Calculus: What do these terms mean?
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MHB Evaluating $\sum_{n=1}^\infty \frac{1}{2nx^{2n}}$
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Graduate Understanding Sobolev Norms: A Beginner's Guide
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Graduate How to Solve an Integral Equation Involving Exponential Functions?
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MHB Solving $\lim_{{x}\to{0}} lnx \cdot x$: Overview & Proofs
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High School What is the Inverse of a Differential Operator?
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MHB Determining if integral converges or diverges
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MHB Using limits to solve an arithmetic problem?
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Undergrad Angle at which cardioid hits the x-axis
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MHB W.8.7.23 int trig u substitution
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MHB Find max(abs(a)+abs(b)+abs(c)), and a possible f(x)
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MHB Finding Critical Point: x for y=3e^(-2x)−5e^(-4x)
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High School How come this natural logarithm approximation works?
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Undergrad Spivak's Definition of Integrals vs Stewart's
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MHB Is This Partial Fraction Decomposition Set Up Correct?
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Graduate Frechet v Gateaux Derivative and the calculus of variations
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Undergrad Fnd the area A of the triangle with the given the vertices
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MHB Evaluating Definite Integral $I$
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Undergrad Integration by Parts without using u, v
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Undergrad What are the solutions for 10 = (e^x)/x?
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MHB Divergence Test: Evaluating I$_{17}$ at $\tiny{206.8.8.17}$
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MHB Can Discontinuity and Non-Derivability Exist in Strongly Concave Functions?
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MHB 206.8.5.49 Express the integrand as sum of partial fractions
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Undergrad Can Differentiating a Simple Fraction Simplify Complex Integration?
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MHB 242.14.2. solve the initial value problem
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MHB What is g(x) in Terms of f(x): Distance Path Path
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MHB As for the question,How can I simplify (8x^1/2)/(x^2/3)]^1/3?
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Graduate Drawing Graphs with f(x): A Beginner's Guide
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High School What is the integral of (x^2+x)/(2x+1) when split into manageable pieces?
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MHB Arc length & similar questions
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MHB Is the Series Convergent or Divergent?
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MHB 205.q4.2 very painful Newton's Method
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MHB Evaluating Limit Using L'Hospitals Rule $\tiny{205.q4.1}$
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Undergrad Directional derivative: identity
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MHB 206.11.3.12 write the power series
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Undergrad What happens in this step function?
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MHB Limit of (n^2+n)^(1/2)-(n^3+n^2)^(1/3)
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MHB How Do You Solve Related Rates Problems Involving Melting Ice?
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MHB So, the car takes approximately 8.43 seconds to travel 100 meters.
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Undergrad How to logically derive the total derivative formula?
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MHB Find $F''(2): $$F(x)=∫_x^2 f(t)\,dt$$
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MHB Integral using trig substitution
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MHB 206.11.3.27 first three nonzero terms of the Taylor series
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MHB Series Convergence Or Divergence
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MHB Need help on related rates problem
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MHB Find General Form of Z & T: Newton's Law of Cooling
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MHB 206.11.3.27 Tayor series 3 terms
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MHB 206.11.3.39 Find the first four nonzero terms of the Taylor series
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MHB 206.11.3.11 Find the first four nozero terms of the Maciaurin series
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MHB Which test do we have to apply at each case?
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MHB How Does Water Depth Change as a Cone-Shaped Tank Empties?
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Undergrad Find potential integrating on segments parallel to axes
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Undergrad Do time-dependent and conservative vector fields exist?
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High School Why can't a chain rule exist for integration?
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High School What is the formula for the length of the graph of e^x in the first quadrant?
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Undergrad Mathematical representation of probability
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Undergrad Integral of f(x)*x: Is It Possible?
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MHB 242.13.3 Taylor remander formula
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MHB Approximating Functions with 3rd Order Taylor Polynomials
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Undergrad Newton's method for approximating solutions of functions
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Undergrad Surface of revolution of a donuts
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MHB Find xf^7(x)''(0): Chain Rule Explanation
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MHB Derivative: Simplifying an Equation
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MHB 11. 1.33-T nth order Taylor polynomials - - centered at a=100, n=0
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MHB How to Use Absolute Convergence Test on This Series?
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Undergrad What is the role of Laurent series in solving limits at infinity?
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Undergrad Gaussian integral in two dimensions
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Undergrad What Is the Derivative of cos(x) with Respect to 1/x?
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Undergrad Successive Integrals: Examining 1st Integral y_1(t)
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MHB What is the more appropriate method to solve for the limit in this scenario?
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MHB Taylor Polynomials for $e^{-4x}$ at $x=0$
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Undergrad Centroid Problem Solutions: Integrate or Otherwise?
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MHB Find the limit as x goes to infinity
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MHB Crank/Piston Motion: Understanding dB/dt, dB/dθ & d2B/dT2
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MHB Find the nth-order Taylor polynomials centered at 0, for n=0, 1, 2.
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MHB What is the Derivative of f(x) = 3xlnx?
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Undergrad Is the convergence of an infinite series mere convention?
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MHB 206.11.1.12 quadratic approximating polynomial
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Undergrad Infinite Sum of x/(z+y): Solving the Puzzle
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Undergrad Can Fourier Analysis Represent Any Function Using Sin and Cos?
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MHB Find the derivative of the antiderivative
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Graduate Convergence of an infinite series of exponentials
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MHB Finding Approximate Critical Number with Newton's Method
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Undergrad Partial derivative of a total derivative
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MHB S4.12.9.13 find a power series representation
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Undergrad How Can Vector Field Simulation Differ Between Iron Core and Vacuum?
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MHB Can You Derive a Reduction Formula for the Integral $\int \sec^nx dx$?
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MHB What is the area bounded by y = 8 – 2x - x^2 and the x-axis?
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MHB What is the substitution for the definite integral ∫202x(4−x2)1/5 dx?
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Undergrad Extremal condition in calculus of variations, geometric
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MHB Does the Sequence Converge or Diverge?
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MHB Evaluation of definite integral (is it correct?)
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Undergrad Are the functions for mixed derivative always equal?
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Undergrad How does the change in area compare to the differential area element?
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High School Why differential of e^x is special?
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High School Confusion regarding area of this figure
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Undergrad Laplace transformation of nested function
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