Calculus Forum

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.

Threads

Undergrad Q: Integration of e^(-t/2)cos(n2t)dt

  • Peter_L
  • · Replies 2 ·
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2

Undergrad How to sketch 3D graphs accurately for multivariable calculus

  • maximf
  • · Replies 3 ·
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3

Graduate Understanding Compactness in the Graph of a Continuous Function

  • SiddharthM
  • · Replies 7 ·
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7

Graduate Deriving Equation (2) from Equation (1)

  • Gu Jianjun
  • · Replies 2 ·
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2

Undergrad Graph of r(t) = costi + sintj + costk

  • Jared596
  • · Replies 2 ·
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2

Undergrad What is the Limit of the Sequence {arctan(2n)} and Does it Converge to pi/2?

  • Schecter5150
  • · Replies 2 ·
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2

Undergrad How to Simplify a Matrix Equation?

  • helpm3pl3ase
  • · Replies 6 ·
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6

Graduate Can the integral \(\int \sqrt{u^{4}+1} dx\) be solved?

  • nicodoggie
  • · Replies 6 ·
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6

High School What's the difference between a zero and a root?

  • theperthvan
  • · Replies 4 ·
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4

Graduate Prove that sin (n^2) + sin (n^3) is not a convergent

  • Kummer
  • · Replies 3 ·
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3

Graduate Infinite sum proof by induction

  • Doom of Doom
  • · Replies 2 ·
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2

High School How Do You Differentiate e^x and ln(x)?

  • JasonX
  • · Replies 4 ·
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4

Graduate Can You Solve This Integral?

  • Frankww
  • · Replies 2 ·
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2

Undergrad Prove f(x) is differentiable at x=1 where f(x)=2x^2 x=<1, =4x-1 x>1

  • sara_87
  • · Replies 11 ·
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11

Undergrad Coordinates at which 2 tangent lines of a function pass through a single point

  • goaliemon89
  • · Replies 4 ·
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4

Graduate Proving the Division of Power Series: A Rigorous Approach

  • spacediablo
  • · Replies 5 ·
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5

Graduate Solve Summation Question: T(n) Recurrence Form

  • jamesvanboxtel
  • · Replies 3 ·
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3

Graduate How to Integrate x^2 e^(-|x|/b) from -Infinity to Infinity?

  • Morto
  • · Replies 9 ·
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9

High School Why does adding a constant to the x value in a graph move it to the left?

  • Joza
  • · Replies 2 ·
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2

Graduate Understanding Equality in Convolution: A Scientist's Perspective

  • SNES
  • · Replies 2 ·
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2

Graduate Integral of x^(1/2)*e^(-x) from -∞ to ∞

  • snoweangel27
  • · Replies 5 ·
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5

Graduate Why can a constant be factored out of an infinite series?

  • ShengyaoLiang
  • · Replies 6 ·
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6

Graduate Proof of Borel's lemma on derivatives and real sequences

  • Castilla
  • · Replies 2 ·
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2

High School What is the definition for multiplicative inverses in R?

  • mrroboto
  • · Replies 5 ·
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5

Undergrad Example of a Non-Subspace in R^2 Closed Under Addition and Inverses?

  • mrroboto
  • · Replies 7 ·
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7

Graduate Does the Limit of Sample Expectations Equal the Limit of x_m?

  • Jekertee
  • · Replies 4 ·
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4

Undergrad Why does lim x→∞ √x·sin(1/√x) equal 1, not infinity?

  • Starcrafty
  • · Replies 13 ·
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13

High School Trying to determine domain of f(t)=4.5e^t

  • poohbear1986
  • · Replies 7 ·
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7

Undergrad How do you calculate f'(a) in terms of the blue values?

  • kingwinner
  • · Replies 7 ·
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7

Graduate 2π periodic integrable function failing the mean value theorem for integrals

  • titaniumx3
  • · Replies 5 ·
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5

Graduate Express ∑n²xⁿ as a function of x

  • Zythyr
  • · Replies 12 ·
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12

Graduate Why do z and z_bar count as independent variables in complex analysis?

  • omyojj
  • · Replies 1 ·
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1

Graduate Using Riemann Upper sums to solve limits

  • Gib Z
  • · Replies 2 ·
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2

Undergrad How Do You Integrate the Function \(\frac{1}{\sqrt{a^2 - x^2}}\)?

  • lazypast
  • · Replies 17 ·
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17

Undergrad Is the Sequence (1+\frac{1}{k})^{k+1} non-increasing for n>1?

  • dobry_den
  • · Replies 4 ·
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4

Undergrad Proving Taylor Series: Maclaurin vs. Taylor

  • rock.freak667
  • · Replies 7 ·
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7

High School How Do You Calculate Horizontal and Vertical Asymptotes?

  • poohbear1986
  • · Replies 3 ·
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3

Undergrad What Does the Limit of Summation i<j Mean?

  • AKBAR
  • · Replies 1 ·
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1

Graduate How can we classify stationary points of a function?

  • Fermat
  • · Replies 2 ·
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2

Undergrad Tangent Lines of Parametric Equations

  • Feldoh
  • · Replies 5 ·
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5

Undergrad Proving a function is continuous

  • asif zaidi
  • · Replies 11 ·
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11

Graduate Uniqueness of Completion of a Metric Space?

  • melknin
  • · Replies 7 ·
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7

Undergrad Proving the Limit of a Sum using Sequence Convergence

  • marlen
  • · Replies 3 ·
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3

Graduate Are Cubic and Elliptical Functions Orthogonal at Intersection Points?

  • QuantumKing
  • · Replies 1 ·
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1

Undergrad The sum of 1-2+3-4+5 , and divergence

  • asd1249jf
  • · Replies 8 ·
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8

Graduate .How would you evaluate this integral?

  • Doom of Doom
  • · Replies 8 ·
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8

Undergrad What Does the Third Derivative Mean?

  • x2thay
  • · Replies 5 ·
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5

Undergrad What is the physical meaning of line integrals in mathematics?

  • rela
  • · Replies 1 ·
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1

Undergrad Why is optimization used to find maximum and minimum values?

  • SpicyRamen
  • · Replies 3 ·
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3

Undergrad Proof of Sequence Convergence: Find Sum of Sequence

  • kryckmeister
  • · Replies 2 ·
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2

Graduate What arithmetic and order properties of rationals are assumed in real analysis?

  • Diffy
  • · Replies 2 ·
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2

Graduate Decomposing a function into even and odd parts

  • javi438
  • · Replies 4 ·
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4

Undergrad What is the solution to this infinite series problem?

  • camilus
  • · Replies 5 ·
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5

Graduate Volume of sphere with cylindrical hole and cone with cylindrical core

  • yongkiat
  • · Replies 1 ·
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1

Graduate Continued fraction identity for arctan(x)

  • rbzima
  • · Replies 2 ·
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2

Undergrad Can you Simplify the Trigonometric Expression: cos 4x + cos 3x/ sin4x - sin 3x?

  • Cutie13
  • · Replies 4 ·
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4

Undergrad What is the Formula for Calculating Surface Area of z=x^{2}+2y in a Given Range?

  • amolv06
  • · Replies 1 ·
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1

I want this book precaculus function and graphecs

  • Magod
  • · Replies 1 ·
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1

Graduate Infinite Series (2 diverge -> 1 converge)

  • linuxux
  • · Replies 6 ·
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6

Undergrad Can Limits Inside Irrational Exponents Be Proven?

  • sutupidmath
  • · Replies 4 ·
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4

Undergrad Proving that the limit of (e^h - 1)/h equals 1 as h approaches 0

  • yhsbboy08
  • · Replies 10 ·
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10

Graduate Taylor's theorem: proving Rudin's formula and analyticity vs C^infinity

  • SiddharthM
  • · Replies 6 ·
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6

High School Is There a Mobile App for Calculus Formulas and Tables?

  • relativistic
  • · Replies 4 ·
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4

Undergrad Struggling with Analysis I? Get Advice Here!

  • muzik87
  • · Replies 11 ·
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11

Graduate Complete the Square: How to Evaluate an Integral

  • solidus_E
  • · Replies 8 ·
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8

Undergrad Why won't y=c*a^x fit data with negative y-values and positive x?

  • jimmy123
  • · Replies 3 ·
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3

Graduate Proving Theorem i.5 with Calvo Apostol

  • cnaeger
  • · Replies 5 ·
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5

Undergrad Curious about imaginary solution

  • atqamar
  • · Replies 9 ·
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9

Graduate Complex Analysis: Sums of elementary fractions

  • Potage11
  • · Replies 1 ·
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1

Undergrad Development of Integration by Substitution

  • chaotixmonjuish
  • · Replies 3 ·
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3

Undergrad Limit of ln(√x + 5) / ln(x) as x approaches infinity

  • redsox5
  • · Replies 9 ·
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9

Undergrad How Do You Find the Derivative of e^x^x^2?

  • erjkism
  • · Replies 9 ·
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9

Undergrad How to Differentiate y=2e(2x+1) Using the Chain Rule?

  • v_pino
  • · Replies 5 ·
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5

Graduate Humidifier disk and wetted area if partially submerged

  • jstew2189
  • · Replies 4 ·
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4

Graduate Proving the Cauchy Sequence of (An)

  • hypermonkey2
  • · Replies 2 ·
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2

Graduate Integral of 1/x in complex variables

  • Simfish
  • · Replies 3 ·
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3

Graduate Fixed points of convex hull of distance sets on the unit square

  • sapporozoe
  • · Replies 1 ·
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1

Graduate Area and Volumes of Solid of Revolution

  • Oman
  • · Replies 1 ·
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1

Graduate Evaluating the Fresnel integral

  • Simfish
  • · Replies 2 ·
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2

Undergrad Integral of Sin(theta)/Sin(theta/2)

  • 3uc1id
  • · Replies 3 ·
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3

Undergrad Which Calculus Book Suits My Economics Needs?

  • PiRsq
  • · Replies 2 ·
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2

Graduate About the preimage of a compact set

  • sapporozoe
  • · Replies 14 ·
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14

Undergrad Why does losing solutions happen with nonlinear systems in Lagrange multipliers?

  • ice109
  • · Replies 2 ·
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2

Graduate Efficient Numerical Method for Inverse Integration with Known Constants a, b, c

  • jimbo_durham
  • · Replies 3 ·
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3

Graduate Finding 1st and 2nd total partial differential

  • ScottO
  • · Replies 1 ·
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1

Undergrad Rate of Change in Water Depth of Cone-Shaped Tank

  • ProblemSets
  • · Replies 1 ·
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1

Undergrad Speed of Rocket at 60 Degrees Elevation

  • ProblemSets
  • · Replies 3 ·
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3

Undergrad How Fast is the Distance Changing Between Two Ships and a Man's Shadow?

  • aMo0oDi
  • · Replies 8 ·
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8

Undergrad Proof Inverse Sin: Complete Series Proof

  • bfd
  • · Replies 2 ·
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2

Undergrad Find the Limit as n Approaches Infinity

  • Mattofix
  • · Replies 7 ·
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7

Undergrad Distinguishing maxima, minima and saddle points

  • MarianaA
  • · Replies 7 ·
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7

Undergrad Understanding Limits: Real Numbers or Infinity?

  • buckr02
  • · Replies 2 ·
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2

Undergrad Local Extremum of f(x)=(4-x^2)^(-1/2): First Derivative Test

  • MIA6
  • · Replies 1 ·
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1

Graduate Complex Variable Analysis: What is the order of the pole at z=1?

  • GluonZ
  • · Replies 2 ·
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2
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7

Undergrad Finding Angles for Conic Section

  • splac6996
  • · Replies 2 ·
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2

Graduate Infinite Product Convergence: Is There a Closed Form?

  • photis
  • · Replies 2 ·
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2

Graduate What is the integral of delta(x-b) from -infinity to a?

  • extreme2000
  • · Replies 3 ·
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3

Graduate Approximations to the guassian integral

  • Euclid
  • · Replies 2 ·
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2

Undergrad Finding k for continuity and differentiability of a piecewise function at x=2

  • fiziksfun
  • · Replies 6 ·
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6