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 How Is the Integral of Natural Log of x Calculated?

  • Zeios
  • · Replies 1 ·
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1

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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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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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